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Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations Full article

Journal Mathematical Modelling of Natural Phenomena
ISSN: 0973-5348
Output data Year: 2018, Volume: 13, Number: 20, Pages: 1-7 Pages count : 7 DOI: 10.1051/mmnp/2018022
Tags Entropy solution; Fluctuating hydrodynamics; Initial-boundary value problem; Kinetic solution; Parabolic regularization; Quasilinear impulsive hyperbolic equation
Authors Kuznetsov Ivan Vladimirovich 1,2
Affiliations
1 Novosibirsk State University
2 Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Science

Abstract: In the present paper we deal with kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. The genuine nonlinearity condition enables to prove the existence of one-sided traces of these solutions on fixed-Time hyperplanes. The latter fact provides the impulsive condition. This type of equations can be used in the fluctuating hydrodynamics.
Cite: Kuznetsov I.V.
Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations
Mathematical Modelling of Natural Phenomena. 2018. V.13. N20. P.1-7. DOI: 10.1051/mmnp/2018022 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000443894600005
Scopus: 2-s2.0-85047105678
Elibrary: 35482793
OpenAlex: W2802527095
Citing:
DB Citing
Scopus 4
OpenAlex 5
Elibrary 3
Web of science 2
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