Relevant bibliographies by topics / FREE-FREE BOUNDARY

Academic literature on the topic 'FREE-FREE BOUNDARY'

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Published: 11 September 2023

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Journal articles on the topic "FREE-FREE BOUNDARY"

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Chistyakov, A. E., E. A. Protsenko, and E. F. Timofeeva. "Mathematical modeling of oscillatory processes with a free boundary." COMPUTATIONAL MATHEMATICS AND INFORMATION TECHNOLOGIES 1, no. 1 (2017): 102–12. http://dx.doi.org/10.23947/2587-8999-2017-1-1-102-112.

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Gurevich, Alex. "Boundary regularity for free boundary problems." Communications on Pure and Applied Mathematics 52, no. 3 (March 1999): 363–403. http://dx.doi.org/10.1002/(sici)1097-0312(199903)52:3<363::aid-cpa3>3.0.co;2-u.

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Jiang, Yingchun, and Qingqing Sun. "Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/954717.

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This paper deals with the construction of divergence-free and curl-free wavelets on the unit cube, which satisfies the free-slip boundary conditions. First, interval wavelets adapted to our construction are introduced. Then, we provide the biorthogonal divergence-free and curl-free wavelets with free-slip boundary and simple structure, based on the characterization of corresponding spaces. Moreover, the bases are also stable.
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SUSSMAN, MARK, and PETER SMEREKA. "Axisymmetric free boundary problems." Journal of Fluid Mechanics 341 (June 25, 1997): 269–94. http://dx.doi.org/10.1017/s0022112097005570.

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We present a number of three-dimensional axisymmetric free boundary problems for two immiscible fluids, such as air and water. A level set method is used where the interface is the zero level set of a continuous function while the two fluids are solutions of the incompressible Navier–Stokes equation. We examine the rise and distortion of an initially spherical bubble into cap bubbles and toroidal bubbles. Steady solutions for gas bubbles rising in a liquid are computed, with favourable comparisons to experimental data. We also study the inviscid limit and compare our results with a boundary integral method. The problems of an air bubble bursting at a free surface and a liquid drop hitting a free surface are also computed.
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Dovì, V. G., H. Preisig, and O. Paladino. "Inverse free boundary problems." Applied Mathematics Letters 2, no. 1 (1989): 91–96. http://dx.doi.org/10.1016/0893-9659(89)90125-0.

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Lortz, D. "Plane free-boundary equilibria." Plasma Physics and Controlled Fusion 33, no. 1 (January 1, 1991): 77–89. http://dx.doi.org/10.1088/0741-3335/33/1/005.

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Shargorodsky, E., and J. F. Toland. "Bernoulli free-boundary problems." Memoirs of the American Mathematical Society 196, no. 914 (2008): 0. http://dx.doi.org/10.1090/memo/0914.

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Park, Sung-Ho, and Juncheol Pyo. "Free boundary minimal hypersurfaces with spherical boundary." Mathematische Nachrichten 290, no. 5-6 (May 31, 2016): 885–89. http://dx.doi.org/10.1002/mana.201500399.

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Edelen, Nick. "The free-boundary Brakke flow." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 758 (January 1, 2020): 95–137. http://dx.doi.org/10.1515/crelle-2017-0053.

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AbstractWe develop the notion of Brakke flow with free-boundary in a barrier surface. Unlike the classical free-boundary mean curvature flow, the free-boundary Brakke flow must “pop” upon tangential contact with the barrier. We prove a compactness theorem for free-boundary Brakke flows, define a Gaussian monotonicity formula valid at all points, and use this to adapt the local regularity theorem of White [23] to the free-boundary setting. Using Ilmanen’s elliptic regularization procedure [10], we prove existence of free-boundary Brakke flows.
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MATSUSHITA, Osami. "Modelling; Free from boundary condition." Journal of the Japan Society for Precision Engineering 54, no. 5 (1988): 848–52. http://dx.doi.org/10.2493/jjspe.54.848.

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Dissertations / Theses on the topic "FREE-FREE BOUNDARY"

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Morgan, J. D. "Codimension-two free boundary problems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359484.

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O'Brien, Stephen Brian Gerard. "Free boundary problems from industry." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314860.

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Gillow, Keith A. "Codimension-two free boundary problems." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.298393.

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Over the past 30 years the study of free boundary problems has stimulated much work. However, there exists a widely occurring, but little studied subclass of free boundary problems in which the free boundary has dimension two fewer than that of the underlying space rather than the more commonly studied case of one less. These problems are called `codimension-two' free boundary problems. In Chapter 1 the typical geometries required for such problems, the main mathematical techniques and the methodology used are discussed. Then, in Chapter 2, the techniques required to solve them are demonstrated using the particular example of the water entry problem. Further results for the water entry problem are then derived including an analysis of the relatively poorly understood water exit problem. In Chapter 3 a review is given of some classical contact and crack problems in solid mechanics. The inclusion of a cohesive zone in a dynamic type-III crack problem is considered. The Muskhelishvili potential method is presented and used to solve both a contact and crack problem. This enables the solution of a type-I crack problem relating to an ink delivery system to be found. In Chapter 4 a problem posed by car windscreen forming is addressed. A local solution near a corner is analysed to explain when and how point forces occur at the corners of the frame on which the simply supported windscreen rests. Then the full problem is solved numerically for different types of boundary condition. Chapters 5 and 6 deal with several sintering problems in viscous flow highlighting the value of the methodology introduced in Chapter 1. It will be shown how the Muskhelishvili potential method also carries over to Stokes flow problems. The difficulties of matching to an inner as opposed to an outer region are investigated. Last two interface problems between immiscible liquids are considered which show how the solution procedure is adapted when the field equation in the thin region is non-trivial. In the final chapter results are summarised, open problems listed and conclusions drawn.
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Minne, Andreas. "Non-linear Free Boundary Problems." Doctoral thesis, KTH, Matematik (Avd.), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-178110.

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This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations. Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. Furthermore, it is proven that the free boundary is continuously differentiable around so called "thick" points, and that the free boundary touches the fixed boundary tangentially in two dimensions. Paper C analyzes singular points of solutions to perturbations of the unstable obstacle problem, in three dimensions. Blow-up limits are characterized and shown to be unique. The free boundary is proven to lie close to the zero-level set of the corresponding blow-up limit. Finally, the structure of the singular set is analyzed. Paper D discusses an idea on how existence and uniqueness theorems concerning quasi-monotone fully non-linear elliptic systems can be extended to systems that are not quasi-monotone.

QC 20151210

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Hylamia, Abdullah. "Towards Battery-free Radio Tomographic Imaging : Battery-free Boundary Crossing Detection." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-234819.

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Radio tomographic imaging (RTI) is a novel device-free localization technique which utilizes the changes in radio signals caused by obstruction to enable various sensing applications. However, the deployment of these applications is hindered by the energy-expensive radio sensing techniques employed in these systems. In this thesis, we tackle this issue by introducing a novel way to realize a battery-free RTI sensor. We go through the design process and produce and evaluate a working prototype that operates on minuscule amounts of energy. Our design reduces power consumption by orders of magnitude compared to traditional RTI sensors by eliminating the energy-expensive components used in current RTI systems, enabling battery-free operation of RTI sensors. We demonstrate the efficiency and accuracy of our system in a boundary crossing scenario. We Discuss its limitations and tackle some of the security threats correlated with the deployment of such a system.
Radiotomografisk avbildning (RTA) är en ny, anordningsfri lokaliseringstekniksom utnyttjar förändringarna i radiosignaler orsakat av obstruktioner för att möjliggöraolika avkänningsapplikationer. Utvecklingen av dessa applikationer hindrasemellertid av de energiineffektiva radioavkännande tekniker som användsi dessa system. I denna avhandling behandlar vi problemet genom att introduceraen ny metod för att skapa en batterifri RTA-sensor. Vi går igenom konstruktionsprocessenoch producerar och utvärderar en arbetsprototyp som kräver minusklermängder energi. Vår design minskar energiförbrukningen signifikantjämfört med traditionella RTA-sensorer, genom att eliminera de energiineffektivakomponenterna som används i dagens RTA-system, vilket möjliggör batterifridrift av RTA-sensorer. Vi demonstrerar effektiviteten och noggrannheten hos vårtsystem i ett gränsöverskridande scenario. Vi diskuterar begränsningarna och taritu med några av de säkerhetshot som är korrelerade med utplaceringen av ettsådant system.
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Petrosyan, Arsak. "Convex configurations in free boundary problems." Doctoral thesis, KTH, Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-2966.

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Petrosyan, Arshak. "Convex configurations in free boundary problems." Doctoral thesis, KTH, Matematik, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-2966.

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Cummings, Linda Jane. "Free boundary models in viscous flow." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.339364.

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Mason, C. J. "Numerical methods for free boundary problems." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37775.

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Aleksanyan, Gohar. "Regularity results in free boundary problems." Doctoral thesis, KTH, Matematik (Avd.), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-195178.

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This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary problems. We use iteration arguments to derive the optimal regularity in the optimal switching problem, and to analyse the regularity of the free boundary in the biharmonic obstacle problem and in the double obstacle problem.In Paper A, we study the interior regularity of the solution to the optimal switching problem. We derive the optimal C1,1-regularity of the minimal solution under the assumption that the zero loop set is the closure of its interior.In Paper B, assuming that the solution to the biharmonic obstacle problem with a zero obstacle is suÿciently close-to the one-dimensional solution (xn)3+, we derive the C1,-regularity of the free boundary, under an additional assumption that the noncoincidence set is an NTA-domain.In Paper C we study the two-dimensional double obstacle problem with polynomial obstacles p1 p2, and observe that there is a new type of blow-ups that we call double-cone solutions. We investigate the existence of double-cone solutions depending on the coeÿcients of p1, p2, and show that if the solution to the double obstacle problem with obstacles p1 = −|x|2 and p2 = |x|2 is close to a double-cone solution, then the free boundary is a union of four C1,-graphs, pairwise crossing at the origin.

QC 20161103

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Books on the topic "FREE-FREE BOUNDARY"

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Apushkinskaya, Darya. Free Boundary Problems. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97079-0.

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Figueiredo, Isabel Narra, José Francisco Rodrigues, and Lisa Santos, eds. Free Boundary Problems. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7719-9.

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Colli, Pierluigi, Claudio Verdi, and Augusto Visintin, eds. Free Boundary Problems. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7893-7.

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Hoffmann, K. H., and J. Sprekels, eds. Free Boundary Value Problems. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7301-7.

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1949-, Toland John F., ed. Bernoulli free-boundary problems. Providence, R.I: American Mathematical Society, 2008.

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Friedman, Avner, and Joel Spruck, eds. Variational and Free Boundary Problems. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8357-4.

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Free and moving boundary problems. Oxford [Oxfordshire]: Clarendon Press, 1987.

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Crank, J. Free and moving boundary problems. Oxford: Clarendon, 1987.

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Avner, Friedman, and Spruck Joel, eds. Variational and free boundary problems. New York: Springer-Verlag, 1993.

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Antontsev, S. N., J. I. Díaz, and S. Shmarev. Energy Methods for Free Boundary Problems. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0091-8.

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Book chapters on the topic "FREE-FREE BOUNDARY"

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Apushkinskaya, Darya. "Boundary Estimates for Solutions of Free Boundary Problems." In Free Boundary Problems, 73–106. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97079-0_3.

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Aiki, Toyohiko, and Takanobu Okazaki. "One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator." In Free Boundary Problems, 1–9. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_1.

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Bermúdez, Alfredo, María Rodríguez-Nogueiras, and Carlos Vázquez. "Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem." In Free Boundary Problems, 95–106. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_10.

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Biler, Piotr, and Robert Stańczy. "Nonlinear Diffusion Models for Self-gravitating Particles." In Free Boundary Problems, 107–16. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_11.

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Briozzo, Adriana C., and Domingo A. Tarzia. "Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation." In Free Boundary Problems, 117–24. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_12.

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Cardaliaguet, P., F. Da Lio, N. Forcadel, and R. Monneau. "Dislocation Dynamics: a Non-local Moving Boundary." In Free Boundary Problems, 125–35. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_13.

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Chevalier, E. "Bermudean Approximation of the Free Boundary Associated with an American Option." In Free Boundary Problems, 137–47. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_14.

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Consiglieri, L., and J. F. Rodrigues. "Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction." In Free Boundary Problems, 149–57. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_15.

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Eleuteri, Michela. "Some P.D.E.s with Hysteresis." In Free Boundary Problems, 159–68. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_16.

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Fukao, Takesi. "Embedding Theorem for Phase Field Equation with Convection." In Free Boundary Problems, 169–78. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_17.

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Conference papers on the topic "FREE-FREE BOUNDARY"

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Choi, Jongouk, Hyunwoo Joe, Yongjoo Kim, and Changhee Jung. "Achieving Stagnation-Free Intermittent Computation with Boundary-Free Adaptive Execution." In 2019 IEEE Real-Time and Embedded Technology and Applications Symposium (RTAS). IEEE, 2019. http://dx.doi.org/10.1109/rtas.2019.00035.

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Orzechowski, Grzegorz, and Aki M. Mikkola. "Boundary Conditions and Craig-Bampton Substructuring Technique With Free-Free Modes." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67397.

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The floating frame of reference formulation allows for description of the kinematics of a deformable body using generalized coordinates that define the body local reference frame and deformations with respect to that frame. In practical applications, the formulation need to be used in conjunction with of a model order reduction approach. The paper investigates the usage of the model reduction through the Craig-Bampton method with the mean-axis reference frame conditions. Analysis involves static numerical examples of the beam structures, modeled using commercial packages with different boundary conditions and loads. It is shown that commonly employed orthonormalization technique dissolves the influence of the static correction modes in many assumed deformation modes of a deformable body. Consequently, a care should be taken in model validation when this popular approach for modeling flexible bodies is used.
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PRIMICERIO, MARIO, and BORIS ZALTZMAN. "FREE BOUNDARY IN RADIAL SYMMETRIC CHEMOTAXIS." In Proceedings of the 11th Conference on WASCOM 2001. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777331_0053.

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Yi, Thomas T. "Free-Free Vibration Extraction From Available Vibration Data." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1255.

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Abstract This paper presents a procedure for identifying the free-free vibration data of a structure from the available vibration data of the same structure with boundary conditions. For a structure in a mechanical system, depending upon the dynamic formulation used, we may need a set of free-free modal data or a set of constrained modal data. If a finite element model of the structure is available, its vibration data can be obtained analytically under any desired boundary conditions. However, if a finite element model is not available, the vibration data may be determined experimentally. Since experimentally measured vibration data are obtained for a structure supported by some form of boundary conditions, we may need to determine its free-free vibration data. The aim of this study is to extract, based on experimentally obtained vibration data, the necessary free-free frequencies and the associated modes for structures to be used in dynamic formulations. The available vibration data may be obtained for a structure supported either by springs or by fixed boundary conditions. Furthermore, the available modes may be either a complete set; i.e., as many modes as the number of degrees of freedom of the associated FE model is available, or it can be an incomplete set.
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Katsikadelis, J. T. "The meshless analog equation method: a new highly accurate truly mesh-free method for solving partial differential equations." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06002.

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Poljak, D., and C. A. Brebbia. "Transient analysis of coated thin wire antennas in free space via the Galerkin-Bubnov indirect Boundary Element Method." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06018.

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MURTHY, S., and S. HONG. "Turbulent boundary layer with free stream turbulence." In 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1503.

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Partom, Yehuda, Mark Elert, Michael D. Furnish, Ricky Chau, Neil Holmes, and Jeffrey Nguyen. "REACTIVE FLOW CALCULATION NEAR A FREE BOUNDARY." In SHOCK COMPRESSION OF CONDENSED MATTER - 2007: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter. AIP, 2008. http://dx.doi.org/10.1063/1.2833074.

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Lubashevsky, Igor A., Alexander V. Priezzhev, Vasyl V. Gafiychuk, and Meruzhan G. Cadjan. "Free-boundary model for local thermal coagulation." In Photonics West '96, edited by Steven L. Jacques. SPIE, 1996. http://dx.doi.org/10.1117/12.239559.

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Yin, Ziyi, Ziyang Song, and Zejian Yuan. "Learning to Plan Semantic Free-Space Boundary." In 2019 IEEE International Conference on Image Processing (ICIP). IEEE, 2019. http://dx.doi.org/10.1109/icip.2019.8803669.

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Reports on the topic "FREE-FREE BOUNDARY"

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Atkinson, F. V., H. G. Kaper, and Man Kam Kwong. Asymptotics of a free boundary problem. Office of Scientific and Technical Information (OSTI), October 1992. http://dx.doi.org/10.2172/10172528.

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Reusch, M. F. Free boundary skin current MHD (magnetohydrodynamic) equilibria. Office of Scientific and Technical Information (OSTI), February 1988. http://dx.doi.org/10.2172/5256723.

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Taksar, Michael. Free Boundary Control of the Markov Process. Fort Belvoir, VA: Defense Technical Information Center, January 1988. http://dx.doi.org/10.21236/ada192401.

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Wilson, D. (International conference on free and moving boundary problems). Office of Scientific and Technical Information (OSTI), November 1988. http://dx.doi.org/10.2172/6782315.

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Stern, Fred. Free-Surface Effects on Ship Boundary Layers and Wakes. Fort Belvoir, VA: Defense Technical Information Center, January 1992. http://dx.doi.org/10.21236/ada246014.

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Moreno, Giovanni. A $\C$--Spectral Sequence Associated with Free Boundary Variational Problems. GIQ, 2012. http://dx.doi.org/10.7546/giq-11-2010-146-156.

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S.R. Hudson, D.A. Monticello, A.H. Reiman, A.H. Boozer, D.J. Strickler, S.P. Hirshman, and M.C. Zarnstorff. Eliminating Islands in High-pressure Free-boundary Stellarator Magnetohydrodynamic Equilibrium Solutions. Office of Scientific and Technical Information (OSTI), November 2002. http://dx.doi.org/10.2172/809954.

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Holmes, John J. Boundary Conditions for Magnetic Field Gradients Inside a Source-Free Volume. Fort Belvoir, VA: Defense Technical Information Center, April 1999. http://dx.doi.org/10.21236/ada362760.

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S.R.Hudson, A. Reiman, D. Strickler, A. Brooks, D.A. Monticello, and and S.P. Hirshman. Free-boundary Full-pressure Island Healing in a Stellarator: Coil-healing. Office of Scientific and Technical Information (OSTI), May 2002. http://dx.doi.org/10.2172/798164.

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Hong, S. W., W. W. Schultz, and W. P. Graebel. An Alternative Complex Boundary Element Method for Nonlinear Free Surface Problems. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada250817.

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