论文标题

通过修订后的Maxwell法律的完全可压缩Navier-Stokes方程的低马赫数限制

Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law

论文作者

Wang, Zhao, Hu, Yuxi

论文摘要

在本文中,我们研究了通过修订后的Maxwell Law的完整可压缩Navier-Stokes方程的低马赫数限制。通过应用误差系统的均匀估计,我们证明了随着时间弛豫的全部可压缩Navier-Stokes方程的解决方案会收敛到不可压缩的Navier-Stokes方程,因为MACH数趋于零。此外,还获得了收敛速率。

In this paper, we study the low Mach number limit of the full compressible Navier-Stokes equations with revised Maxwell law. By applying the uniform estimation of the error system, we prove that the solutions of the full compressible Navier-Stokes equations with time relaxation converge to that of the incompressible Navier-Stokes equations as the Mach number tends to zero. Moreover, the convergence rates are also obtained.

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