Relevant bibliographies by topics / Higher integrability

Academic literature on the topic 'Higher integrability'

Author: Grafiati
Published: 9 March 2023
Last updated: 11 March 2023

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Journal articles on the topic "Higher integrability"

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Franciosi, Michelangelo, and Gioconda Moscariello. "Higher integrability results." Manuscripta Mathematica 52, no. 1-3 (February 1985): 151–70. http://dx.doi.org/10.1007/bf01171490.

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Tempesta, Piergiulio, and Giorgio Tondo. "Higher Haantjes Brackets and Integrability." Communications in Mathematical Physics 389, no. 3 (November 2, 2021): 1647–71. http://dx.doi.org/10.1007/s00220-021-04233-5.

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AbstractWe propose a new, infinite class of brackets generalizing the Frölicher–Nijenhuis bracket. This class can be reduced to a family of generalized Nijenhuis torsions recently introduced. In particular, the Haantjes bracket, the first example of our construction, is relevant in the characterization of Haantjes moduli of operators. We also prove that the vanishing of a higher-level Nijenhuis torsion of an operator field is a sufficient condition for the integrability of its eigen-distributions. This result (which does not require any knowledge of the spectral properties of the operator) generalizes the celebrated Haantjes theorem. The same vanishing condition also guarantees that the operator can be written, in a local chart, in a block-diagonal form.
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Demessie, G. A., and C. Sämann. "Higher Poincaré lemma and integrability." Journal of Mathematical Physics 56, no. 8 (August 2015): 082902. http://dx.doi.org/10.1063/1.4929537.

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Khesin, Boris, and Fedor Soloviev. "Integrability of higher pentagram maps." Mathematische Annalen 357, no. 3 (March 29, 2013): 1005–47. http://dx.doi.org/10.1007/s00208-013-0922-5.

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Hanson, Bruce, and Pekka Koskela. "Higher integrability and the boundary dimension." Annales Academiae Scientiarum Fennicae Series A I Mathematica 16 (1991): 323–31. http://dx.doi.org/10.5186/aasfm.1991.1611.

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Franciosi, Michelangelo. "Weighted rearrangements and higher integrability results." Studia Mathematica 92, no. 2 (1989): 131–39. http://dx.doi.org/10.4064/sm-92-2-131-139.

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Batrachenko, A., James T. Liu, Oscar Varela, and W. Y. Wen. "Higher order integrability in generalized holonomy." Nuclear Physics B 760, no. 1-2 (January 2007): 89–103. http://dx.doi.org/10.1016/j.nuclphysb.2006.10.017.

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Scheven, Christoph, and Thomas Schmidt. "Asymptotically regular problems I: Higher integrability." Journal of Differential Equations 248, no. 4 (February 2010): 745–91. http://dx.doi.org/10.1016/j.jde.2009.11.021.

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Franciosi, Michelangelo. "Higher integrability results and Hölder continuity." Journal of Mathematical Analysis and Applications 150, no. 1 (July 1990): 161–65. http://dx.doi.org/10.1016/0022-247x(90)90204-s.

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Dolzmann, Georg, and Jan Kristensen. "Higher integrability of minimizing Young measures." Calculus of Variations and Partial Differential Equations 22, no. 3 (March 2005): 283–301. http://dx.doi.org/10.1007/s00526-004-0273-x.

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Dissertations / Theses on the topic "Higher integrability"

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Alhily, Shatha Sami Sejad. "Higher integrability of the gradient of conformal maps." Thesis, University of Sussex, 2013. http://sro.sussex.ac.uk/id/eprint/45885/.

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MAZZOLA, MARCO. "Properties of solutions to variational problems." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2010. http://hdl.handle.net/10281/18339.

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In the context of the variational problems related to integral functionals, we study some necessary conditions for a solution u without standard growth assumptions and strong differentiability conditions on the Lagrangian L. In particular, we investigate the validity of the Euler-Lagrange equation, in its classical and non-classical form, in the cases of functionals with non-differentiable convex Lagrangian or with super-exponential growth for L. Moreover, we investigate the regularity properties for minimizers, concerning higher integrability of the gradient as well as higher differentiability under general growth conditions and mild differentiability assumptions on L.
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Mazzoni, Michele. "Generalized hydrodynamics of a (1+1)-dimensional integrable scattering theory with roaming trajectories." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23209/.

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The emergence of hydrodynamic features in off-equilibrium (1 + 1)-dimensional integrable quantum systems has been the object of increasing attention in recent years. In this Master Thesis, we combine Thermodynamic Bethe Ansatz (TBA) techniques for finite-temperature quantum field theories with the Generalized Hydrodynamics (GHD) picture to provide a theoretical and numerical analysis of Zamolodchikov’s staircase model both at thermal equilibrium and in inhomogeneous generalized Gibbs ensembles. The staircase model is a diagonal (1 + 1)-dimensional integrable scattering theory with the remarkable property of roaming between infinitely many critical points when moving along a renormalization group trajectory. Namely, the finite-temperature dimensionless ground-state energy of the system approaches the central charges of all the minimal unitary conformal field theories (CFTs) M_p as the temperature varies. Within the GHD framework we develop a detailed study of the staircase model’s hydrodynamics and compare its quite surprising features to those displayed by a class of non-diagonal massless models flowing between adjacent points in the M_p series. Finally, employing both TBA and GHD techniques, we generalize to higher-spin local and quasi-local conserved charges the results obtained by B. Doyon and D. Bernard [1] for the steady-state energy current in off-equilibrium conformal field theories.
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Engquist, Johan. "Dualities, Symmetries and Unbroken Phases in String Theory : Probing the Composite Nature of the String." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5902.

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Thirouin, Joseph. "Instabilité et croissance des normes de Sobolev pour certaines EDP hamiltoniennes." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS195/document.

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Cette thèse est consacrée à l'étude de solutions globales et régulières de certaines EDP hamiltoniennes, du point de vue de la croissance de leurs normes de Sobolev. Un tel phénomène traduit une modification de la répartition de l'énergie dans l'espace des fréquences, appelée parfois "turbulence faible". On étudie d'abord une équation d'évolution non-linéaire où intervient un laplacien fractionnaire, et l'on prouve des estimées a priori sur la vitesse de croissance des normes de Sobolev. On introduit ensuite une équation où de telles estimées sont optimales : une équation de Szegő, intégrable, avec une non-linéarité quadratique, et où certaines solutions régulières croissent à vitesse exponentielle tout en restant bornées dans l'espace d'énergie. On classifie les ondes progressives de cette équation de Szegő quadratique, et l'on met en évidence l'instabilité d'une partie d'entre elles. Enfin, on exhibe pour cette équation une hiérarchie de lois de conservation, qui permet d'étudier plus précisément les solutions rationnelles turbulentes
In this thesis we study global smooth solutions of certain Hamiltonian PDEs, in order to capture the possible growth of their Sobolev norms. Such a phenomenon is typical for what is sometimes called "weak turbulence" : a change in the distribution of energy between Fourier modes. We first study a nonlinear evolution equation involving a fractional Laplacian, and we prove a priori estimates on the growth of Sobolev norms. We then introduce an equation where these estimates turn out to be optimal : an integrable Szegő equation with a quadratic nonlinearity, which admits exponentially growing smooth solutions that remain bounded in the energy space. We classify the traveling wave solutions of this quadratic Szegő equation, and show that some of them are unstable. Eventually we find a hierarchy of conservation laws for this equation, which leads us into a deeper study of rational turbulent solutions
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Marco, Tommaso Di. "A-priori estimates for elliptic systems under general growth conditions." Doctoral thesis, 2020. http://hdl.handle.net/2158/1193646.

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La tesi riguarda lo studio di stime a-priori per sistemi ellittici del calcolo delle variazioni con condizioni di crescita generale. La prima parte riguarda stime per la maggiore sommabilità del gradiente di soluzioni di particolari problemi variazionali. La seconda stime a priori della norma L-infinito del gradiente di soluzioni nel caso di crescita sia lenta che veloce. This thesis is about a-priori estimates in the calculus of variations with general growth conditions. The first part contains some higher integrability estimates for gradients of particular solutions of particular variational problems. The second part contains L-infinity a-priori estimates for the gradient of solutions with either slow or fast growth conditions.
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Books on the topic "Higher integrability"

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Integrability, Quantization, and Geometry. American Mathematical Society, 2021.

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Dorey, Patrick, Gregory Korchemsky, Nikita Nekrasov, Volker Schomerus, Didina Serban, and Leticia Cugliandolo, eds. Integrability: From Statistical Systems to Gauge Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198828150.001.0001.

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This volume contains lectures delivered at the Les Houches Summer School ‘Integrability: from statistical systems to gauge theory’ held in June 2016. The School was focussed on applications of integrability to supersymmetric gauge and string theory, a subject of high and increasing interest in the mathematical and theoretical physics communities over the past decade. Relevant background material was also covered, with lecture series introducing the main concepts and techniques relevant to modern approaches to integrability, conformal field theory, scattering amplitudes, and gauge/string duality. The book will be useful not only to those working directly on integrablility in string and guage theories, but also to researchers in related areas of condensed matter physics and statistical mechanics.
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Book chapters on the topic "Higher integrability"

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Marquette, Ian, and Pavel Winternitz. "Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”." In Integrability, Supersymmetry and Coherent States, 103–31. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20087-9_4.

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Fusco, Nicola, and Carlo Sbordone. "Higher Integrability from Reverse Jensen Inequalities with Different Supports." In Partial Differential Equations and the Calculus of Variations, 541–62. Boston, MA: Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4684-9196-8_23.

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Fusco, Nicola, and Carlo Sbordone. "Higher Integrability from Reverse Jensen Inequalities with Different Supports." In Partial Differential Equations and the Calculus of Variations, 541–62. Boston, MA: Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4615-9831-2_2.

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Senthilvelan, M. "Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations." In SIDE III—Symmetries and Integrability of Difference Equations, 401–6. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/crmp/025/38.

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Focardi, Matteo. "Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture." In Free Discontinuity Problems, 1–68. Pisa: Scuola Normale Superiore, 2016. http://dx.doi.org/10.1007/978-88-7642-593-6_1.

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Adamczak, Radosław, and Witold Bednorz. "Orlicz Integrability of Additive Functionals of Harris Ergodic Markov Chains." In High Dimensional Probability VII, 295–326. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40519-3_13.

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Katanaev, M. O., W. Kummer, H. Liebl, and D. V. Vassilevich. "Generalized 2d-Dilaton Models, the True Black Hole and Quantum Integrability." In International Europhysics Conference on High Energy Physics, 1059–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-59982-8_199.

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Rosiński, Jan. "Strong Exponential Integrability of Martingales with Increments Bounded by a Sequence of Numbers." In High Dimensional Probability II, 65–76. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1358-1_5.

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"Chapter 13. Higher Integrability." In Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48), 316–61. Princeton University Press, 2008. http://dx.doi.org/10.1515/9781400830114.316.

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TODA, K., and S.-J. YU. "THE HIGHER DIMENSIONAL EXTENSIONS FOR THE CALOGERO KORTEWEG-DE VRIES EQUATION." In Nonlinearity, Integrability And All That, 203–6. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812817587_0028.

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Conference papers on the topic "Higher integrability"

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Babelon, Olivier, and Luiz Agostinho Ferreira. "Integrability in higher dimensions: a model with exact Hopfion solutions." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0003.

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Tao, Yongsheng, and Jingsong He. "The integrability and solvability for the variable coefficient higher-order nonlinear Schrödinger equation." In 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). IEEE, 2011. http://dx.doi.org/10.1109/cecnet.2011.5768446.

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Osborne, Alfred R. "Extending Integrability of Nonlinear Water Wave Equations: Nonlinear Fourier Analysis of Breather Packets and Rogue Waves at Higher Order." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95543.

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Abstract I suggest a formulation to give approximate spectral solutions of nonintegrable, nonlinear wave equations in 2+1 dimensions. Nonintegrable systems such as the 2+1 NLS, Dysthe and extended Dysthe equations can be approximately integrated by selecting a nearby theta function formulation. I study the subclass of wave equations that are in the form of nonlinear envelope equations for which all members can be reduced to a particular Hirota bilinear form. To find the approximately integrable formulation associated with a nonintegrable equation, I first study the one and two soliton solutions and subsequently extend these to larger numbers of solitons to obtain the Hirota N-soliton solution (for infinite-plane boundary conditions). Subsequently, I address the one and two periodic solutions from the bilinear form, so that I can develop the associated Riemann theta function solution to a nearby integrable case. I discuss how to obtain the higher order breather packets from the point of view of the theta functions. This work is being developed for real time analysis of shipboard radar analysis of ocean waves. Further applications include real time analysis of lidar and synthetic aperture radar (SAR) data taken by airplanes flying over high sea states.
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Zavala, Jose Carlos, and J. Karl Hedrick. "Effect of Microprocessor Features in Control Loops Modeled in Simulink." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62008.

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The intensive use of simulation tools, such as simulink has made possible the development of embedded controllers using a plant model as a base. The performance in the simulation environment does not account however for the details of the hardware architecture. In this paper, a way to approximate some of the effects of the features of a particular microprocessor is derived for the Simulink environment. Worst-case execution time of the given control algorithm is performed as the first step. The computation error is also estimated for that particular algorithm. A block in the Simulink model could then express the computation latency due to hardware processing and the error due to computation accuracy. An automatic way of estimating these effects is presented here in order to achieve a higher integrability of software tools available for the designer. In particular, controller design involves deciding what hardware platform to choose for a particular application. Analysis and experimental results of a particular microprocessor are discussed.
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Lipatov, L. N. "Integrability of BKP and Odderon equations." In DIFFRACTION 2012: International Workshop on Diffraction in High Energy Physics. AIP, 2013. http://dx.doi.org/10.1063/1.4802160.

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DUKELSKY, J., J. M. ARIAS, J. E. GARCIA-RAMOS, and S. PITTEL. "INTEGRABILITY AND QUANTUM PHASE TRANSITIONS IN INTERACTING BOSON MODELS." In Proceedings of the Highly Specialized Seminar. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702760_0019.

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Lipatov, L. N., Roberto Fiore, Igor Ivanov, Alessandro Papa, and Jacques Soffer. "Production amplitudes in N = 4 SUSY and integrability." In DIFFRACTION 2008: International Workshop on Diffraction in High Energy Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3122212.

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Loebbert, Florian, and Julian Miczajka. "Massive Integrability: From Fishnet Theories to Feynman Graphs and Back." In The European Physical Society Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.398.0733.

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Fioravanti, Davide, Paolo Grinza, Marco Rossi, Marcella Capua, Roberto Fiore, Igor Ivanov, Alessandro Papa, Jacques Soffer, and Enrico Tassi. "Beyond cusp anomalous dimension from integrability in SYM[sub 4]." In DIFFRACTION 2010: INTERNATIONAL WORKSHOP ON DIFFRACTION IN HIGH ENERGY PHYSICS. AIP, 2011. http://dx.doi.org/10.1063/1.3601414.

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Gregori, Daniele, and Davide Fioravanti. "Quasinormal modes of black holes from supersymmetric gauge theory and integrability." In 41st International Conference on High Energy physics. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.414.0422.

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