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Connections Between Symmetries and Conservation Laws [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2005 This paper presents recent work on connections between symmetries and conservation laws. After reviewing Noether's theorem and its limitations, we present the Direct Construction Method to show how to find directly the conservation laws for any given ...
George Bluman
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conservation-laws/ryujin: ryujin version 2.1.1 [PDF]
, 2023 High-performance high-order collocation-type finite-element scheme for solving hyperbolic conservation equations such as the compressible Navier-Stokes and Euler equations of gas ...
Eric Joseph Tovar +4 more
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The conservation laws of several 2+1 dimensional semi-discrete equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we further develop and enrich the results on conservation laws obtained in Zhu (2003) and present two forms of conservation laws in different directions.
Chun-Xia Li +4 more
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Conservation laws in quantum noninvasive measurements
Physical Review Research, 2021 Conservation principles are essential to describe and quantify dynamical processes in all areas of physics. Classically, a conservation law holds because the description of reality can be considered independent of an observation (measurement). In quantum
Stanisław Sołtan +3 more
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New asymptotic conservation laws for electromagnetism
Journal of High Energy Physics, 2021 We obtain the subleading tail to the memory term in the late time electromagnetic radiative field generated due to a generic scattering of charged bodies. We show that there exists a new asymptotic conservation law which is related to the subleading tail
Sayali Atul Bhatkar
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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Approximate Symmetries and Conservation Laws for Mechanical Systems Described by Mixed Derivative Perturbed PDEs [PDF]
, 2023 This article focuses on developing and applying approximation techniques to derive conservation laws for the Timoshenko–Prescott mixed derivatives perturbed partial differential equations (PDEs).
Shamaoon A. +3 more
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Mathematical and Computational Applications, 2023 This study investigates via Lie symmetry analysis the Hunter–Saxton equation, an equation relevant to the theoretical analysis of nematic liquid crystals.
Molahlehi Charles Kakuli +2 more
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SYMMETRY AND CONSERVATION LAWS [PDF]
Proceedings of the National Academy of Sciences, 1964 Symmetry and invariance considerations, and even conservation laws, played undoubtedly an important role in the thinking of the early physicists, such as Galileo and Newton, and probably even before then. However, these considerations were not thought to be particularly important and were articulated only rarely.
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