EXISTENCE OF ENTROPY SOLUTIONS TO SYSTEM OF POLYTROPIC GAS WITH A CLASS OF UNBOUNDED SOURCES

被引：0

作者：

Jia, Xuanji ^{[1
]}

Klingenberg, Christian ^{[2
]}

Lu, Yun-Guang ^{[1
]}

Sun, Qingyou ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou, Peoples R China

[2] Wuerzburg Univ, Inst Appl Math, Wurzburg, Germany

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Damping source; Friction; Flux approximation; Global weak solution; Gas dynamics; LAX-FRIEDRICHS SCHEME; HYDRODYNAMIC MODEL; GLOBAL EXISTENCE; CONVERGENCE; STABILITY; EQUATIONS; DYNAMICS; FLOW;

D O I：

10.23952/jnva.7.2023.3.08

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global existence of entropy solutions to a gas dynamics system with a class of unbounded sources. By using the maximum principle, we obtain the uniform L-infinity-estimates for the viscosity solutions. The key ingredient here is to introduce two suitable bounded functions to control the unbounded source terms. Then, with the aid of the compensated compactness theory, we prove the convergence of viscosity solutions and existence of global entropy solutions for any adiabatic exponent alpha >1.

引用

页码：437 / 448

页数：12

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