Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations

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 ty...

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Veröffentlicht in:	Mathematical modelling of natural phenomena 2018-01, Vol.13 (2), p.20
Hauptverfasser:	Ibragimov, Ranis N., Kuznetsov, Ivan
Format:	Artikel
Sprache:	eng
Schlagworte:	35D30 35R12 Entropy Entropy solution fluctuating hydrodynamics Fluid dynamics Fluid flow Hydrodynamics Hyperplanes initial-boundary value problem kinetic solution Mathematical analysis Nonlinear systems parabolic regularization quasilinear impulsive hyperbolic equation Variations
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Beschreibung
Zusammenfassung:	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.
ISSN:	0973-5348 1760-6101
DOI:	10.1051/mmnp/2018022