On the isentropic approximation to two-dimension isothermal Euler system

被引：0
作者：
Li Wang
机构：
[1] Shanghai Dianji University,Department of Mathematics and Physics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷
关键词：
isentropic approximation; isothermal Euler system; semigroup; 35L65; 35L567;
D O I：
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学科分类号：
摘要：
In this paper we mainly study the difference between the weak solutions generated by a wave front tracking algorithm to isentropic and non-isentropic isothermal Euler system of steady supersonic flow. Under the hypothesis that the initial data are of sufficiently small total variation, we prove that the difference between solutions to isentropic and non-isentropic isothermal Euler system of steady supersonic flow can be bounded by the cube of the total variation of the initial perturbation.
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页码：245 / 256
页数：11
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