Results 21 to 30 of about 2,343,705 (241)
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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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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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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Dym equation: group analysis and conservation laws [PDF]
AUT Journal of Mathematics and Computing, 2022 In this paper group-invariant properties of the Dym equation are studied. Lie symmetries are given and some group-invariant solutions are found with the use of similarity variables obtained from these operators.
S. Reza Hejazi, Azadeh Naderifard
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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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Symmetries of conservation laws [PDF]
Publications de l'Institut Mathematique, 2005 We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves.
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Integrable viscous conservation laws [PDF]
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
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Conservation laws for a viscoelastic medium
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 We show that some properties of rank 2 reflexive sheaves true on P^3 can be extended to a wide class of smooth projective threefolds. In particular, we establish some cohomological conditions in order that a rank 2 reflexive sheaf is locally free or a ...
Mario Valenzano
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Aggregation with multiple conservation laws [PDF]
Physical Review E, 1996 Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymptotic form of this solution exhibits nontrivial ``double'' scaling.
Krapivsky, P. L., Ben-Naim, E.
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Coherence cost for violating conservation laws
Physical Review Research, 2020 In isolated quantum systems that have conserved quantities, such as energy and total magnetization, the conserved quantities cannot vary their values with their own dynamics.
Hiroyasu Tajima +2 more
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