Geodesic
Admissibility of a solution to generalized Chaplygin gas
Theoretical and applied mechanics, Tome 46 (2019) no. 1

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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}.
Keywords: generalized Chaplygin model, delta shocks, fluc perturbation 
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     author = {Marko Nedeljkov},
     title = {Admissibility of a solution to generalized {Chaplygin} gas},
     journal = {Theoretical and applied mechanics},
     pages = {89 - 96},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2019},
     url = {http://geodesic.mathdoc.fr/item/TAM_2019_46_1_a6/}
}
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Marko Nedeljkov. Admissibility of a solution to generalized Chaplygin gas. Theoretical and applied mechanics, Tome 46 (2019) no. 1. http://geodesic.mathdoc.fr/item/TAM_2019_46_1_a6/