Admissibility of a solution to generalized Chaplygin gas

• Main Author: Nedeljkov Marko
• Format: Article
• Language: English
• Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2019-01-01
• Series: Theoretical and Applied Mechanics
• Subjects: generalized Chaplygin model; delta shocks; fluc perturbation
• Online Access: http://www.doiserbia.nb.rs/img/doi/1450-5584/2019/1450-55841900002N.pdf

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 [4]. The aim of this paper is to use a solution to perturbed generalized Chaplygin model by a small constant 𝜀 > 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 [5]. [Projects of the Serbian Ministry of Education, Science and Technological Development, Grant no. OI174024 and Grant no. III44006]