Low Mach number limit of the global solution to the compressible Navier–Stokes system for large data in the critical Besov space
Low Mach number limit of the global solution to the compressible Navier–Stokes system for large data in the critical Besov space
复制标题
DOI：
10.1007/s00208-023-02621-x
复制
发表时间：
2022-10
影响因子：
1.4
通讯作者：
Mikihiro Fujii
中科院分区：
文献类型：
--
作者：
Mikihiro Fujii
本文考虑恒定平衡状态下的可压缩Navier-Stokes系统，在给定马赫数足够小的尺度临界Besov空间中，证明了任意大初始数据的唯一全局解的存在性，且初始速度的不可压缩部分生成了不可压缩Navier-Stokes方程的全局解。此外，我们考虑了低马赫数极限，并证明了可压缩解在某些时空范数下收敛于不可压缩Navier-Stokes方程的解。
In this paper, we consider the compressible Navier–Stokes system around the constant equilibrium states and prove the existence of a unique global solution forarbitrarily large initial datain the scaling critical Besov space provided that the Mach number is sufficiently small, and the incompressible part of the initial velocity generates the global solution of the incompressible Navier–Stokes equation. Moreover, we consider the low Mach number limit and show that the compressible solution converges to the solution of the incompressible Navier–Stokes equation in some space time norms.