Results 1 to 10 of about 536,909 (305)
On integrable conservation laws. [PDF]
Proc Math Phys Eng Sci, 2015 We study normal forms of scalar integrable dispersive (not necessarily Hamiltonian) conservation laws, via the Dubrovin–Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrized by infinitely many arbitrary functions that can be identified with the coefficients of the quasi-linear part of the equation ...
Arsie A, Lorenzoni P, Moro A.
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Conservation laws shape dissipation [PDF]
New Journal of Physics, 2018 Starting from the most general formulation of stochastic thermodynamics—i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs—we define a procedure to identify the conservative and the
Riccardo Rao, Massimiliano Esposito
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Scrambling with conservation laws [PDF]
Journal of High Energy Physics, 2021 In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state.
Gong Cheng, Brian Swingle
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Conservation Laws and Hydrodynamics [PDF]
EPJ Web of Conferences, 2023 Recent years have seen much development in analyzing the structure of relativistic hydrodynamics. In this proceeding, some of the developments are highlighted including issues related to pseudo-gauge transformations and spin hydrodynamics.
Jeon Sangyong
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Systems of conservation laws [PDF]
Communications on Pure and Applied Mathematics, 1960 Abstract : In this paper a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws. Among these schemes we determine the best ones, i.e., those which have the smallest truncation error and in which the discontinuities are
Peter D. Lax, Burton Wendroff
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On conservation laws in quantum mechanics. [PDF]
Proc Natl Acad Sci U S A, 2021 Significance Conservation laws are one of the most important aspects of nature. As such, they have been intensively studied and extensively applied, and are considered to be perfectly well established. We, however, raise fundamental question about the very meaning of conservation laws in quantum mechanics. We argue that, although the standard
Aharonov Y, Popescu S, Rohrlich D.
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Dispersive optical solitons and conservation laws of Radhakrishnan–Kundu–Lakshmanan equation with dual–power law nonlinearity [PDF]
Heliyon, 2023 The current paper implements three elegant approaches to recover a complete spectrum of optical solitons to the Radhakrishnan–Kundu–Lakshmanan equation with dual–power law of nonlinear refractive index.
Ahmed H. Arnous +7 more
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Generalized Conservation Laws [PDF]
Proceedings of the American Mathematical Society, 1967 A. P. Stone
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Computation of $\mu$-symmetry and $\mu$-conservation law for the Camassa-Holm and Hunter-Saxton equations [PDF]
AUT Journal of Mathematics and Computing, 2023 This work is intended to compute the $\mu$-symmetry and $\mu$-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, $\mu$-symmetry, $\mu$-symmetry reduction, variational problem, and $\mu$-conservation ...
Somayeh Shaban, Mehdi Nadjafikhah
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Information Scrambling with Conservation Laws
SciPost Physics, 2022 The delocalization or scrambling of quantum information has emerged as a central ingredient in the understanding of thermalization in isolated quantum many-body systems.
Jonah Kudler-Flam, Ramanjit Sohal, Laimei Nie
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