On the Isentropic Approximation to Two-dimension Isothermal Euler System  

作　　者：Li WANG 

机构地区：[1]Department of Mathematics and Physics,Shanghai Dianji University

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第1期245-256,共12页应用数学学报（英文版）

基　　金：Supported by the TianYuan Special Funds of the National Natural Science Foundation of China(Grant No.11226171);Research Award Fund for Young Teachers in Shanghai Higher Education Institutions(No.shdj008);the Fundamental Research Funds for Shanghai Dianji University(Grant No.11C417)

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.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.

关 键 词：isentropic approximation isothermal Euler system SEMIGROUP 

分 类 号：O354.3[理学—流体力学] O175[理学—力学]