Relevant bibliographies by topics / Nonlinear dissipation

Academic literature on the topic 'Nonlinear dissipation'

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Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Nonlinear dissipation"

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Kamrin, K., and J. D. Goddard. "Symmetry relations in viscoplastic drag laws." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2172 (December 8, 2014): 20140434. http://dx.doi.org/10.1098/rspa.2014.0434.

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The following note shows that the symmetry of various resistance formulae, often based on Lorentz reciprocity for linearly viscous fluids, applies to a wide class of nonlinear viscoplastic fluids. This follows from Edelen's nonlinear generalization of the Onsager relation for the special case of strongly dissipative rheology, where constitutive equations are derivable from his dissipation potential. For flow domains with strong dissipation in the interior and on a portion of the boundary, this implies strong dissipation on the remaining portion of the boundary, with strongly dissipative traction–velocity response given by a dissipation potential. This leads to a nonlinear generalization of Stokes resistance formulae for a wide class of viscoplastic fluid problems. We consider the application to nonlinear Darcy flow and to the effective slip for viscoplastic flow over textured surfaces.
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Lévy, Laurent P., and Andrew T. Ogielski. "Dissipation in nonlinear response." Journal of Mathematical Physics 30, no. 3 (March 1989): 683–88. http://dx.doi.org/10.1063/1.528382.

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LIANG, JIANFENG. "HYPERBOLIC SMOOTHING EFFECT FOR SEMILINEAR WAVE EQUATIONS AT A FOCAL POINT." Journal of Hyperbolic Differential Equations 06, no. 01 (March 2009): 1–23. http://dx.doi.org/10.1142/s0219891609001745.

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For semi-linear dissipative wave equation □u + |ut|p - 1ut = 0, we consider finite energy solutions with singularities propagating along a focusing light cone. At the tip of cone, the singularities are focused and partially smoothed out under strong nonlinear dissipation, i.e. the solution gets up to 1/2 more L2 derivative after the focus. The smoothing phenomenon is in fact the result of simultaneous action of focusing and nonlinear dissipation.
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HANSEN, JAKOB, ALEXEI KHOKHLOV, and IGOR NOVIKOV. "PROPERTIES OF FOUR NUMERICAL SCHEMES APPLIED TO A NONLINEAR SCALAR WAVE EQUATION WITH A GR-TYPE NONLINEARITY." International Journal of Modern Physics D 13, no. 05 (May 2004): 961–82. http://dx.doi.org/10.1142/s021827180400502x.

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We study stability, dispersion and dissipation properties of four numerical schemes (Itera-tive Crank–Nicolson, 3rd and 4th order Runge–Kutta and Courant–Fredrichs–Levy Nonlinear). By use of a Von Neumann analysis we study the schemes applied to a scalar linear wave equation as well as a scalar nonlinear wave equation with a type of nonlinearity present in GR-equations. Numerical testing is done to verify analytic results. We find that the method of lines (MOL) schemes are the most dispersive and dissipative schemes. The Courant–Fredrichs–Levy Nonlinear (CFLN) scheme is most accurate and least dispersive and dissipative, but the absence of dissipation at Nyquist frequency, if fact, puts it at a disadvantage in numerical simulation. Overall, the 4th order Runge–Kutta scheme, which has the least amount of dissipation among the MOL schemes, seems to be the most suitable compromise between the overall accuracy and damping at short wavelengths.
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Shi, Yunlong, Baoshu Yin, Hongwei Yang, Dezhou Yang, and Zhenhua Xu. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/643652.

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We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, andβeffect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived. Based on the solution, the effect of dissipation on the evolution of envelope solitary Rossby wave is also discussed. The results show that the dissipation causes a slow decrease of amplitude of envelope solitary Rossby waves and a slow increase of width, while it has no effect on the propagation velocity. That is quite different from the KdV-type solitary waves. It is notable that dissipation has certain influence on the carrier frequency.
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Huang, K. M., S. D. Zhang, F. Yi, C. M. Huang, Q. Gan, Y. Gong, and Y. H. Zhang. "Nonlinear interaction of gravity waves in a nonisothermal and dissipative atmosphere." Annales Geophysicae 32, no. 3 (March 21, 2014): 263–75. http://dx.doi.org/10.5194/angeo-32-263-2014.

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Abstract. Starting from a set of fully nonlinear equations, this paper studies that two initial gravity wave packets interact to produce a third substantial packet in a nonisothermal and dissipative atmosphere. The effects of the inhomogeneous temperature and dissipation on interaction are revealed. Numerical experiments indicate that significant energy exchange occurs through the nonlinear interaction in a nonisothermal and dissipative atmosphere. Because of the variability of wavelengths and frequencies of interacting waves, the interaction in an inhomogeneous temperature field is characterised by the nonresonance. The nonresonant three waves mismatch mainly in the vertical wavelengths, but match in the horizontal wavelengths, and their frequencies also tend to match throughout the interaction. Below 80 km, the influence of atmospheric dissipation on the interaction is rather weak due to small diffusivities. With the further propagation of wave above 80 km, the exponentially increasing atmospheric dissipation leads to the remarkable decay and slowly upward propagation of wave energy. Even so, the dissipation below 110 km is not enough to decrease the vertical wavelength of wave. The dissipation seems neither to prevent the interaction occurrence nor to prolong the period of wave energy exchange, which is different from the theoretical prediction based on the linearised equations. The match relationship and wave energy evolution in numerical experiments are helpful in further investigating interaction of gravity waves in the middle atmosphere based on experimental observations.
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Vitali, David, and Paolo Grigolini. "Nonlinear effects in quantum dissipation." Physical Review A 42, no. 12 (December 1, 1990): 7091–106. http://dx.doi.org/10.1103/physreva.42.7091.

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Tian, Bo, and Yi-Tian Gao. "Painlevé Analysis and Symbolic Computation for a Nonlinear Schrödinger Equation with Dissipative Perturbations." Zeitschrift für Naturforschung A 51, no. 3 (March 1, 1996): 167–70. http://dx.doi.org/10.1515/zna-1996-0305.

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The nonlinear Schrödinger equations with small dissipative perturbations are of current importance in modeling weakly nonlinear dispersive media with dissipation. In this paper, the Painlevé formulation with symbolic computation is presented for one of those equations. An auto-Bäcklund transformation and some exact solutions are explicitly constructed
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Bona, J. L., F. Demengel, and K. Promislow. "Fourier splitting and dissipation of nonlinear dispersive waves." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 3 (1999): 477–502. http://dx.doi.org/10.1017/s0308210500021478.

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Presented herein is a new method for analysing the long-time behaviour of solutions of nonlinear, dispersive, dissipative wave equations. The method is applied to the generalized Korteweg–de Vries equation posed on the entire real axis, with a homogeneous dissipative mechanism included. Solutions of such equations that commence with finite energy decay to zero as time becomes unboundedly large. In circumstances to be spelled out presently, we establish the existence of a universal asymptotic structure that governs the final stages of decay of solutions. The method entails a splitting of Fourier modes into long and short wavelengths which permits the exploitation of the Hamiltonian structure of the equation obtained by ignoring dissipation. We also develop a helpful enhancement of Schwartz's inequality. This approach applies particularly well to cases where the damping increases in strength sublinearly with wavenumber. Thus the present theory complements earlier work using centre-manifold and group-renormalization ideas to tackle the situation wherein the nonlinearity is quasilinear with regard to the dissipative mechanism.
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Sedal, Audrey, and Alan Wineman. "Force reversal and energy dissipation in composite tubes through nonlinear viscoelasticity of component materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2241 (September 2020): 20200299. http://dx.doi.org/10.1098/rspa.2020.0299.

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Fibre-reinforced, fluid-filled structures are commonly found in nature and emulated in devices. Researchers in the field of soft robotics have used such structures to build lightweight, impact-resistant and safe robots. The polymers and biological materials in many soft actuators have these advantageous characteristics because of viscoelastic energy dissipation. Yet, the gross effects of these underlying viscoelastic properties have not been studied. We explore nonlinear viscoelasticity in soft, pressurized fibre-reinforced tubes, which are a popular type of soft actuation and a common biological architecture. Relative properties of the reinforcement and matrix materials lead to a rich parameter space connecting actuator inputs, loading response and energy dissipation. We solve a mechanical problem in which both the fibre and the matrix are nonlinearly viscoelastic, and the tube deforms into component materials’ nonlinear response regimes. We show that stress relaxation of an actuator can cause the relationship between the working fluid input and the output force to reverse over time compared to the equivalent, non-dissipative case. We further show that differences in design parameter and viscoelastic material properties can affect energy dissipation throughout the use cycle. This approach bridges the gap between viscoelastic behaviour of fibre-reinforced materials and time-dependent soft robot actuation.
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Dissertations / Theses on the topic "Nonlinear dissipation"

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Harris, Shirley Elizabeth. "Nonlinear wave equations with dispersion, dissipation and amplification." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241561.

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Lulla, Kunal. "Dissipation and nonlinear effects in nanomechanical resonators at low temperatures." Thesis, University of Nottingham, 2011. http://eprints.nottingham.ac.uk/12717/.

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Nanomechanical resonators have extremely low masses (~ 10−15 kg) and frequencies from a few megahertz all the way up to the gigahertz range. These properties along with a small damping rate make them very useful or ultrasensitive detection applications, now pushing into the realm of zeptonewtons (10−21 N) and zeptograms (10−21 g). On a more fundamental level, nanomechanical resonators are expected to display quantum mechanical effects when cooled down to millikelvin temperatures. The understanding of dissipation in nanomechanical resonators is important for device applications and to study quantum mechanical effects in such systems. However, despite a range of experiments on semiconducting and metallic devices, dissipation in nanomechanical resonators at low temperatures is not yet well understood. Although mechanical resonators have traditionally been operated in the linear regime, exploiting their nonlinearities can prove advantageous for industrial applications as well as opening up new experimental windows into the fundamental study of the nonlinear dynamics of mesoscopic systems. In this thesis, we present results from low temperature dissipation studies on pure gold and on gold-coated high-stress silicon nitride nanomechanical resonators. A theory, which predicts the existence of tunnelling two-level systems (TLS) in bulk disordered solids at low temperatures, is used as a framework to describe the data. The nonlinear interactions between different flexural modes of a single silicon nitride device, are explored experimentally and theoretically. The resonators were fabricated as doubly-clamped beams using a combination of optical lithography, electron-beam lithography, dry and wet etching techniques. The motion of the resonators was actuated and detected using the magnetomotive scheme. At low temperatures, all the beams had resonant frequencies between 3 and 60 MHz and quality factors in the range 105 − 106. The strong variation observed in dissipation and resonant frequency at the lowest temperatures (below 1 K) indicates the presence of tunnelling TLS in nanomechanical resonators.
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Vierheilig, Carmen [Verfasser]. "Interplay between dissipation and driving in nonlinear quantum systems / Carmen Vierheilig." Regensburg : Univ.-Verl. Regensburg, 2011. http://d-nb.info/1012150712/34.

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Nazari, Farshid. "Strongly Stable and Accurate Numerical Integration Schemes for Nonlinear Systems in Atmospheric Models." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32128.

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Nonlinearity accompanied with stiffness in atmospheric boundary layer physical parameterizations is a well-known concern in numerical weather prediction (NWP) models. Nonlinear diffusion equations, furthermore, are a class of equations which are extensively applicable in different fields of science and engineering. Numerical stability and accuracy is a common concern in this class of equation. In the present research, a comprehensive effort has been made toward the temporal integration of such equations. The main goal is to find highly stable and accurate numerical methods which can be used specifically in atmospheric boundary layer simulations in weather and climate prediction models, and extensively in other models where nonlinear differential equations play an important role, such as magnetohydrodynamics and Navier-Stokes equations. A modified extended backward differentiation formula (ME BDF) scheme is adapted and proposed at the first stage of this research. Various aspects of this scheme, including stability properties, linear stability analysis, and numerical experiments, are studied with regard to applications for the time integration of commonly used nonlinear damping and diffusive systems in atmospheric boundary layer models. A new temporal filter which leads to significant improvement of numerical results is proposed. Nonlinear damping and diffusion in the turbulent mixing of the atmospheric boundary layer is dealt with in the next stage by using optimally stable singly-diagonally-implicit Runge-Kutta (SDIRK) methods, which have been proved to be effective and computationally efficient for the challenges mentioned in the literature. Numerical analyses are performed, and two schemes are modified to enhance their numerical features and stability. Three-stage third-order diagonally-implicit Runge-Kutta (DIRK) scheme is introduced by optimizing the error and linear stability analysis for the aforementioned nonlinear diffusive system. The new scheme is stable for a wide range of time steps and is able to resolve different diffusive systems with diagnostic turbulence closures, or prognostic ones with a diagnostic length scale, with enhanced accuracy and stability compared to current schemes. The procedure implemented in this study is quite general and can be used in other diffusive systems as well. As an extension of this study, high-order low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes are analyzed and introduced, based on the optimization of amplification and phase errors for wave propagation, and various optimized schemes can be obtained. The new scheme shows no dissipation. It is illustrated mathematically and numerically that the new scheme preserves fourth-order accuracy. The numerical applications contain the wave equation with and without a stiff nonlinear source term. This shows that different optimized schemes can be investigated for the solution of systems where physical terms with different behaviours exist.
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Schmitt, James Tyler. "Damage initiation and post-damage response of composite laminates by multiaxial testing and nonlinear optimization." Thesis, Montana State University, 2008. http://etd.lib.montana.edu/etd/2008/schmitt/SchmittJ1208.pdf.

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Fiber reinforced plastics are increasingly being used in the construction of primary structures in the aerospace and energy industries. While their elastic behavior and fatigue response have been the subject of considerable research, less is known about the performance of continuous fiber composites following initial damage. Several competing models for the post-damage response of orthotropic composite materials are explored in this thesis. Each of these models includes only the in-plane loads experienced by the material and characterizes damage based on the local state of strain. Starting with previous work performed at the Naval Research Laboratory and at MSU, the energy dissipated in multiaxially loaded coupons was used to optimize an empirical function that relates the three in-plane strains to the local dissipated energy density. This function was used to approximate a three dimensional damage initiation envelope as well as to quantify the severity of damage following first ply failure in a fiberglass laminate. Carbon fiber reinforced epoxy was characterized using an assumed bilinear constitutive response. The elastic properties of the material were first optimized to minimize deviation from experimental data and then the necessary coefficients for a per-axis strain softening response were found using a similar optimization. This model provides detailed insight into the residual strength of significantly damaged material, as well as dissipated energy as a direct consequence. To facilitate the need of these models for diverse local in-plane loading configurations, the MSU In-Plane Loader (IPL) was utilized. The tests performed in the IPL for this thesis were instrumental in validating a new image-correlation-based displacement monitoring system.
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Verniero, J. L. "Turbulence in heliospheric plasmas: characterizing the energy cascade and mechanisms of dissipation." Diss., University of Iowa, 2019. https://ir.uiowa.edu/etd/6870.

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In space and astrophysical plasmas, turbulence is responsible for transferring energy from large scales driven by violent events or instabilities, to smaller scales where turbulent energy is ultimately converted into plasma heat by dissipative mechanisms. In the inertial range, the self-similar turbulent energy cascade to smaller spatial scales is driven by the nonlinear interaction between counterpropagating Alfvén waves, denoted Alfvén wave collisions. For the more realistic case of the collision between two initially separated Alfvén wavepackets (rather than previous idealized, periodic cases), we use a nonlinear gyrokinetic simulation code, AstroGK, to demonstrate three key properties of strong Alfvén wave collisions: they (i) facilitate the perpendicular cascade of energy and (ii) generate current sheets self-consistently, and (iii) the modes mediating the nonlinear interaction are simply Alfvén waves. Once the turbulent cascade reaches the ion gyroradius scale, the Alfvén waves become dispersive and the turbulent energy starts to dissipate, energizing the particles via wave-particle interactions with eventual dissipation into plasma heat. The novel Field-Particle Correlation technique determines how turbulent energy dissipates into plasma heat by identifying which particles in velocity-space experience a net gain of energy. By utilizing knowledge of discrete particle arrival times, we devise a new algorithm called PATCH (Particle Arrival Time Correlation for Heliophysics) for implementing a field-particle correlator onboard spacecraft. Using AstroGK, we create synthetic spacecraft data mapped to realistic phase-space resolutions of modern spacecraft instruments. We then utilize Poisson statistics to determine the threshold number of particle counts needed to resolve the velocity-space signature of ion Landau damping using the PATCH algorithm.
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Gandomzadeh, Ali. "Dynamic soil-structure interaction : effect of nonlinear soil behavior." Phd thesis, Université Paris-Est, 2011. http://tel.archives-ouvertes.fr/tel-00648179.

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The interaction of the soil with the structure has been largely explored the assumption of material and geometrical linearity of the soil. Nevertheless, for moderate or strong seismic events, the maximum shear strain can easily reach the elastic limit of the soil behavior. Considering soil-structure interaction, the nonlinear effects may change the soil stiffness at the base of the structure and therefore energy dissipation into the soil. Consequently, ignoring the nonlinear characteristics of the dynamic soil-structure interaction (DSSI) this phenomenon could lead toerroneous predictions of structural response. The goal of this work is to implement a fully nonlinear constitutive model for soils into anumerical code in order to investigate the effect of soil nonlinearity on dynamic soil structureinteraction. Moreover, different issues are taken into account such as the effect of confining stress on the shear modulus of the soil, initial static condition, contact elements in the soil-structure interface, etc. During this work, a simple absorbing layer method based on a Rayleigh / Caughey damping formulation, which is often already available in existing. Finite Element softwares, is also presented. The stability conditions of the wave propagation problems are studied and it is shown that the linear and nonlinear behavior are very different when dealing with numerical dispersion. It is shown that the 10 points per wavelength rule, recommended in the literature for the elastic media is not sufficient for the nonlinear case. The implemented model is first numerically verified by comparing the results with other known numerical codes. Afterward, a parametric study is carried out for different types of structures and various soil profiles to characterize nonlinear effects. Different features of the DSSI are compared to the linear case : modification of the amplitude and frequency content of the waves propagated into the soil, fundamental frequency, energy dissipation in the soil and the response of the soil-structure system. Through these parametric studies we show that depending on the soil properties, frequency content of the soil response could change significantly due to the soil nonlinearity. The peaks of the transfer function between free field and outcropping responsesshift to lower frequencies and amplification happens at this frequency range. Amplificationreduction for the high frequencies and even deamplication may happen for high level inputmotions. These changes influence the structural response.We show that depending on the combination of the fundamental frequency of the structureand the the natural frequency of the soil, the effect of soil-structure interaction could be significant or negligible. However, the effect of structure weight and rocking of the superstructurecould change the results. Finally, the basin of Nice is used as an example of wave propagation ona heterogeneous nonlinear media and dynamic soil-structure interaction. The basin response isstrongly dependent on the combination of soil nonlinearity, topographic effects and impedancecontrast between soil layers. For the selected structures and soil profiles of this work, the performed numerical simulations show that the shift of the fundamental frequency is not a goodindex to discriminate linear from nonlinear soil behavior
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Behlke, Rico. "Dissipation at the Earth's Quasi-Parallel Bow Shock." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Universitetsbiblioteket [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6123.

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Ott, Richard J. "An Effective Damping Measure: Examples Using A Nonlinear Energy Sink." University of Akron / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1354032639.

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Yang, Fan [Verfasser]. "Investigation of the Interaction, Nonlinear and Dissipation Effects in Nano-Membrane Resonators by Optical Interferometry / Fan Yang." Konstanz : KOPS Universität Konstanz, 2020. http://d-nb.info/1212796446/34.

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Books on the topic "Nonlinear dissipation"

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Stratonovich, R. L. Nonlinear nonequilibrium thermodynamics I: Linear and nonlinear fluctuation-dissipation theorems. Berlin: Springer-Verlag, 1992.

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Stratonovich, Rouslan L. Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992.

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Kawai, Nobuhiro. Application of Jameson's type nonlinear artificial dissipation to the two-dimensional Navier-Stokes computation. Chofu, Tokyo, Japan: National Aerospace Laboratory, 1989.

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Kelkar, Atul. Robust control of nonlinear flexible multibody systems using quaternion feedback and dissapative compensation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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Korsunskiĭ, S. V. Nonlinear waves in dispersive and dissipative systems with coupled fields. Harlow, Essex: Longman, 1997.

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Marek, Miloš. Chaotic behaviour of deterministic dissipative systems. Cambridge: Cambridge University Press, 1991.

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1941-, Schuster P. (Peter), ed. Modeling by nonlinear differential equations: Dissipative and conservative processes. Singapore: World Scientific, 2009.

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Busse, F. H., and L. Kramer, eds. Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-5793-3.

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Busse, F. H. Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems. Boston, MA: Springer US, 1990.

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NATO Advanced Research Workshop on Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems (1989 Streitberg, Wiesenttal, Germany). Nonlinear evolution of spatio-temporal structures in dissipative continuous systems. New York: Plenum Press, 1990.

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Book chapters on the topic "Nonlinear dissipation"

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Deimling, Klaus. "Dissipation and Almost-Periodicity." In Advances in Nonlinear Dynamics, 33–40. London: Routledge, 2023. http://dx.doi.org/10.1201/9781315136875-4.

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Leonel, Edson Denis. "Dissipation in the Fermi-Ulam Model." In Nonlinear Physical Science, 93–114. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-3544-1_7.

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Boynton, G. Christopher, and ULF Torkelsson. "Nonlinear Dissipation of Alfvén Waves." In Magnetodynamic Phenomena in the Solar Atmosphere, 467–68. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0315-9_99.

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Flockerzi, Dietrich. "Dissipation Inequalities and Nonlinear H ∞ -Theory." In Disturbance Attenuation for Uncertain Control Systems, 11–42. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00957-5_2.

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Fašangová, Eva, and Jan Prüss. "Evolution Equations with Dissipation of Memory Type." In Topics in Nonlinear Analysis, 213–50. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8765-6_11.

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Celeghini, E., M. Rasetti, and G. Vitiello. "Dissipation in Quantum Field Theory." In Nonlinear Coherent Structures in Physics and Biology, 318–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54890-4_186.

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Doaré, Olivier. "Dissipation Effect on Local and Global Fluid-Elastic Instabilities." In Nonlinear Physical Systems, 67–84. Hoboken, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781118577608.ch4.

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Sonar, Thomas. "Entropy Dissipation in Finite Difference Schemes." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects, 544–49. Wiesbaden: Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_66.

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Salles, L., C. Swacek, R. M. Lacayo, P. Reuss, M. R. W. Brake, and C. W. Schwingshackl. "Numerical Round Robin for Prediction of Dissipation in Lap Joints." In Nonlinear Dynamics, Volume 1, 53–64. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-15221-9_4.

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Kubo, Akisato, and Hiroki Hoshino. "Nonlinear Evolution Equations with Strong Dissipation and Proliferation." In Trends in Mathematics, 233–41. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12577-0_28.

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Conference papers on the topic "Nonlinear dissipation"

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Perego, A. M., S. K. Turitsyn, and K. Staliunas. "A new dissipation induced modulation instability in nonlinear optics." In Nonlinear Photonics. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/np.2018.npw1c.6.

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Semenova, I. V., G. V. Dreiden, and A. M. Samsonov. "On nonlinear wave dissipation in polymers." In Optics & Photonics 2005, edited by Leonard M. Hanssen and Patrick V. Farrell. SPIE, 2005. http://dx.doi.org/10.1117/12.616592.

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EDWARDS, K. L., J. M. KAIHATU, and J. VEERAMONY. "DISSIPATION OF NONLINEAR SHALLOW WATER WAVES." In Proceedings of the 29th International Conference. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701916_0036.

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Sheveleva, Anastasiia, Said Hamdi, Aurélien Coillet, Christophe Finot, and Pierre Colman. "Langevin’s model for soliton molecules in ultrafast fiber ring laser cavity." In Nonlinear Photonics. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/np.2022.npth1g.3.

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Using the SINDy framework, we construct a Langevin’s model to describe accurately the vibration of a soliton-molecule. This simpler model allows discussions regarding the dynamics of fluctuation and dissipation mechanisms at play inside a soliton-molecule.
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Zawodny, R., and G. Wagniere. "Optically induced dc magnetization in a Kerr medium with dissipation." In International Conference on Coherent and Nonlinear Optics, edited by Nikolai I. Koroteev, Vladimir A. Makarov, and Konstantin N. Drabovich. SPIE, 1996. http://dx.doi.org/10.1117/12.240514.

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Nazarov, Veniamin E., Andrey V. Radostin, Bengt Enflo, Claes M. Hedberg, and Leif Kari. "Propagation of Unipolar Strain Pulses in Media with Hysteretic Nonlinearity and Linear Dissipation." In NONLINEAR ACOUSTICS - FUNDAMENTALS AND APPLICATIONS: 18th International Symposium on Nonlinear Acoustics - ISNA 18. AIP, 2008. http://dx.doi.org/10.1063/1.2956209.

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Kim, Jae, and Duck Lee. "Adaptive nonlinear artificial dissipation model for computational aeroacoustics." In 6th Aeroacoustics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-1978.

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Samy, Tarek Mahmoud. "Nonlinear Capacitors Power Dissipation and its Graphical Visualization." In 2018 IEEE International Conference on Smart Energy Grid Engineering (SEGE). IEEE, 2018. http://dx.doi.org/10.1109/sege.2018.8499495.

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Howes, G. G., S. C. Cowley, W. Dorland, G. W. Hammett, E. Quataert, and A. A. Schekochihin. "Dissipation-scale turbulence in the solar wind." In TURBULENCE AND NONLINEAR PROCESSES IN ASTROPHYSICAL PLASMAS; 6th Annual International Astrophysics Conference. AIP, 2007. http://dx.doi.org/10.1063/1.2778938.

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You, Yuncheng, Wen Xiu Ma, Xing-biao Hu, and Qingping Liu. "Global Dissipation and Attraction of Three-Component Schnackenberg Systems." In NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3367072.

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Reports on the topic "Nonlinear dissipation"

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Kuether, Robert J., and David Aaron Najera-Flores. Modeling Nonlinear Energy Dissipation of the Ministack Assembly. Office of Scientific and Technical Information (OSTI), September 2017. http://dx.doi.org/10.2172/1596201.

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Jacobs-O'Malley, Laura Diane, and John Hofer. Nonlinear Feature Extraction and Energy Dissipation of Foam/Metal Interfaces. Office of Scientific and Technical Information (OSTI), April 2017. http://dx.doi.org/10.2172/1595879.

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Yue, Dick K., and Yuming Liu. Quantifying Breaking-Wave Dissipation Using Nonlinear Phase-Resolved Wavefield Simulations. Fort Belvoir, VA: Defense Technical Information Center, September 2013. http://dx.doi.org/10.21236/ada601390.

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Kaihatu, James M., Alexandru Sheremet, Jane M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocean Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, January 2010. http://dx.doi.org/10.21236/ada539208.

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Kaihatu, James M., Alexandru Sheremet, Jane M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocean Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, September 2012. http://dx.doi.org/10.21236/ada571481.

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Kaihatu, James M., Alexandru Sheremet, Jane M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocean Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, September 2013. http://dx.doi.org/10.21236/ada597835.

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Kaihatu, James M., Alexandru Sheremet, Jane M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocean Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, September 2011. http://dx.doi.org/10.21236/ada555079.

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Kaihatu, James M., Alexandru Sheremet, Jane M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocesan Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, September 2011. http://dx.doi.org/10.21236/ada557170.

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Kaihatu, James M., Alexandru Sheremet, Jame M. Smith, and Hendrik L. Tolman. Nonlinear and Dissipation Characteristics of Ocean Surface Waves in Estuarine Environments. Fort Belvoir, VA: Defense Technical Information Center, September 2014. http://dx.doi.org/10.21236/ada623462.

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Moum, James N. Nonlinear Internal Waves - A Wave-Tracking Experiment to Assess Nonlinear Internal Wave Generation, Structure, Evolution and Dissipation Over the NJ shelf. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada612200.

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