Incompressible limit for the free surface Navier-Stokes system
Incompressible limit for the free surface Navier-Stokes system
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DOI：
10.1007/s40818-023-00148-7
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发表时间：
2021-10
期刊：
影响因子：
2.8
通讯作者：
N. Masmoudi;F. Rousset;Changzheng Sun
中科院分区：
文献类型：
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作者：
N. Masmoudi;F. Rousset;Changzheng Sun
我们建立统一的规律性估计相对于马赫数的三维自由表面可压缩的Navier-Stokes系统的情况下，稍微准备好的初始数据在这个意义上的声学组件，如速度场的发散的大小，是马赫数。这些估计使我们能够证明在低马赫数限制下向自由表面不可压缩Navier-Stokes系统的收敛。其中一个主要的困难是控制的规则性的表面存在的边界层与快速振荡。
We establish uniform regularity estimates with respect to the Mach number for the three-dimensional free surface compressible Navier-Stokes system in the case of slightly well-prepared initial data in the sense that the acoustic components like the divergence of the velocity field are of size,being the Mach number. These estimates allow us to justify the convergence towards the free surface incompressible Navier-Stokes system in the low Mach number limit. One of the main difficulties is the control of the regularity of the surface in presence of boundary layers with fast oscillations.