广义Chaplygin气体解的可容许性

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2019-01-01 DOI:10.2298/tam190116002n

M. Nedeljkov

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引用次数: 1

摘要

已知广义Chaplygin气体模型的黎曼问题有解，并且在某些情况下包含狄拉克函数。在某些情况下，通常的允许准则不能提取出唯一的弱解，如[4]所示。本文的目的是利用小常数扰动广义Chaplygin模型的解。> 0，得到它的唯一极限。非摄动系统的弱解等于该极限，称为可容许解。采用[5]中定义的Chaplygin气体修正模型进行摄动。

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Admissibility of a solution to generalized Chaplygin gas

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 ?? > 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].

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

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