THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW

作     者：胡玉玺 王召 Yuxi HU;Zhao WANG

作者机构：Department of MathematicsChina University of Mining and TechnologyBeijing100083China Institute of Applied Physics and Computational MathematicsBeijing100088China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2023年第43卷第3期

页      面：1239-1250页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Yuxi HU was supported by the NNSFC (11701556) the Yue Qi Young Scholar Project China University of Mining and Technology (Beijing)。 

主　　题：isentropic compressible Navier-Stokes equations low Mach number limit revised Maxwell's law 

摘      要：We investigate the low Mach number limit for the isentropic compressible NavierStokes equations with a revised Maxwell s law(with Galilean invariance) in R^(3). By applying the uniform estimates of the error system, it is proven that the solutions of the isentropic Navier-Stokes equations with a revised Maxwell s law converge to that of the incompressible Navier-Stokes equations as the Mach number tends to zero. Moreover, the convergence rates are also obtained.