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

doi:10.1007/s10473-024-0612-2

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (6): 2274-2282.doi: 10.1007/s10473-024-0612-2

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

Lijuan CHEN¹, Xianting WANG^2,†, Changfeng XUE¹

1. School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng 224051, China;
2. Wuxi Institute of Technology, Wuxi 214121, China

收稿日期:2023-08-14 接受日期:2024-05-01 发布日期:2024-12-06
通讯作者: † Xianting WANG, E-mail: wangxt@wxit.edu.cn
作者简介:Lijuan CHEN, E-mail: chenlijuan@ycit.cn; Changfeng XUE, E-mail: cfxue@ycit.edu.cn
基金资助:
National Natural Science Foundation of China (12071409).

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

Lijuan CHEN¹, Xianting WANG^2,†, Changfeng XUE¹

1. School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng 224051, China;
2. Wuxi Institute of Technology, Wuxi 214121, China

Received:2023-08-14 Accepted:2024-05-01 Published:2024-12-06
Contact: † Xianting WANG, E-mail: wangxt@wxit.edu.cn
About author:Lijuan CHEN, E-mail: chenlijuan@ycit.cn; Changfeng XUE, E-mail: cfxue@ycit.edu.cn
Supported by:
National Natural Science Foundation of China (12071409).

摘要/Abstract

摘要： In this short paper, we remove the restriction $\gamma \in (1,3]$ 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 Hölder continuous solution and the convergent rate of the viscosity method for the Cauchy problem of the variant non-isentropic system of polytropic gas for any adiabatic exponent $\gamma>1$.

关键词: Hölder continuous solution, nonlinear hyperbolic system, viscosity solution, convergent rate, maximum principle

Abstract: In this short paper, we remove the restriction $\gamma \in (1,3]$ 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 Hölder continuous solution and the convergent rate of the viscosity method for the Cauchy problem of the variant non-isentropic system of polytropic gas for any adiabatic exponent $\gamma>1$.

Key words: Hölder continuous solution, nonlinear hyperbolic system, viscosity solution, convergent rate, maximum principle

中图分类号:

35L03

Lijuan CHEN, Xianting WANG, Changfeng XUE. THE CONVERGENT RATE OF VISCOSITY METHOD FOR A VARIANT NON-ISENTROPIC SYSTEM OF POLYTROPIC GAS[J]. 数学物理学报(英文版), 2024, 44(6): 2274-2282.

Lijuan CHEN, Xianting WANG, Changfeng XUE. THE CONVERGENT RATE OF VISCOSITY METHOD FOR A VARIANT NON-ISENTROPIC SYSTEM OF POLYTROPIC GAS[J]. Acta mathematica scientia,Series B, 2024, 44(6): 2274-2282.

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

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

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