THE CONVERGENT RATE OF VISCOSITY METHOD FOR A VARIANT NON-ISENTROPIC SYSTEM OF POLYTROPIC GAS  

作　　者：Lijuan CHEN Xianting WANG Changfeng XUE 陈丽娟;王先婷;薛长峰(School of Mathematics and Physics,Yancheng Institute of Technology,Yancheng 224051,China;Wuxi Institute of Technology,Wuxi 214121,China)

机构地区：[1]School of Mathematics and Physics,Yancheng Institute of Technology,Yancheng 224051,China [2]Wuxi Institute of Technology,Wuxi 214121,China

出　　处：《Acta Mathematica Scientia》2024年第6期2274-2282,共9页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12071409)。

摘　　要：In this short paper,we remove the restrictionγ∈(1,3]that was used in the paper"The rate of convergence of the viscosity method for a nonlinear hyperbolic system"(Nonlinear Analysis,1999,38:435-445)and obtain a global Holder continuous solution and the convergent rate of the viscosity method for the Cauchy problem of the variant nonisentropic system of polytropic gas for any adiabatic exponentγ>1.

关 键 词：Holder continuous solution nonlinear hyperbolic system viscosity solution convergent rate maximum principle 

分 类 号：O175[理学—数学]