Results 11 to 20 of about 553,706 (265)
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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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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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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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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Conservation laws for a viscoelastic medium
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 In this paper we consider a first order quasilinear non homogenoeus hyperbolic system describing viscoelastic processes. A full classification of first order local conservation laws admitted by such a rate-type model has been given.
Natale Manganaro
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On the structure of conservation laws of (3+1)-dimensional wave equation
Arab Journal of Mathematical Sciences, 2018 In this paper, a (3+1)-dimensional wave equation is studied from the point of view of Lie’s theory in partial differential equations including conservation laws.
S. Reza Hejazi, Elham Lashkarian
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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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Lagrangian-Eulerian approximation methods for balance laws and hyperbolic conservation laws
Revista UIS Ingenierías, 2018 A new finite control volume in a Lagrangian-Eulerian framework is presented (see papers [1, 28]), in which a local space-time domain is studied, in order to design a locally conservative scheme.
Eduardo Abreu, Jhon Perez, Arthur Santo
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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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An Analysis of the invariance and conservation laws of some classes of nonlinear ostrovsky equations and related systems [PDF]
, 2011 A large class of partial differential equations in the modelling of ocean waves are due to Ostrovsky. We determine the invariance properties (through the Lie point symmetry generators) and construct classes of conservation laws for some of the models. In
Fakhar, Kamran, Kara, Abdul Hamid
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