| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 2, 2018
Shock Waves, Discontinuities and Singularities in Natural Phenomena
|
|
|---|---|---|
| Article Number | 20 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/mmnp/2018022 | |
| Published online | 03 May 2018 | |
Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations
1
Novosibirsk State University,
Pirogova St. 2,
630090
Novosibirsk, Russia
2
Lavrentiev Institute of Hydrodynamics SB RAS,
pr. Acad. Lavrentyeva 15,
630090
Novosibirsk, Russia
* Corresponding author: kuznetsov_i@hydro.nsc.ru
Received:
10
October
2017
Accepted:
10
October
2017
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.
Mathematics Subject Classification: 35R12 / 35D30
Key words: Entropy solution / fluctuating hydrodynamics / quasilinear impulsive hyperbolic equation / initial-boundary value problem / kinetic solution / parabolic regularization
© EDP Sciences, 2018
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