Admissibility of a solution to generalized Chaplygin gas
Theoretical and applied mechanics, Tome 46 (2019) no. 1, p. 89
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It is known that there is a solution to the Riemann problem for generalized Chaplygin gas model and that it contains the Dirac delta function in some cases. In some cases, usual admissible criteria can not extract a unique weak solution as it was shown in \cite{nr2017}. The aim of this paper is to use a solution to perturbed generalized Chaplygin model by a small constant $\varepsilon>0$ and obtain a its unique limit. A weak solution to the unperturbed system that equals that limit is called admissible. The perturbation is made by using the modified model of Chaplygin gas defined in \cite{dbc}.
Classification :
35L67, 35L67, 76L05
Keywords: generalized Chaplygin model, delta shocks, fluc perturbation
Keywords: generalized Chaplygin model, delta shocks, fluc perturbation
Marko Nedeljkov. Admissibility of a solution to generalized Chaplygin gas. Theoretical and applied mechanics, Tome 46 (2019) no. 1, p. 89 . doi: 10.2298/TAM190116002N
@article{10_2298_TAM190116002N,
author = {Marko Nedeljkov},
title = {Admissibility of a solution to generalized {Chaplygin} gas},
journal = {Theoretical and applied mechanics},
pages = {89 },
year = {2019},
volume = {46},
number = {1},
doi = {10.2298/TAM190116002N},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM190116002N/}
}
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