Global strong solutions to radial symmetric compressible Navier–Stokes equations bounded by a free surface
Global strong solutions to radial symmetric compressible Navier–Stokes equations bounded by a free surface
复制标题
DOI：
10.1080/00036811.2018.1522629
复制
发表时间：
2018-09
影响因子：
1.1
通讯作者：
Xingwei Zhang
中科院分区：
文献类型：
--
作者：
Xingwei Zhang
本文考虑二维等熵可压缩Navier-Stokes方程，该方程以表面张力和恒定外压作用下的自由表面为界。在粘度系数满足的情况下，建立了初始密度远离真空的任意大球面初始数据整体强解的存在性。特别地，我们证明了密度是严格正的，并且在任何有限时间内，如果初始密度是严格正的，那么密度从上到下都是有界的。
ABSTRACT In this paper, we consider the two-dimensional isentropic compressible Navier–Stokes equations bounded by a free surface that is under the surface tension and constant exterior pressure. We establish the existence of global strong solution for arbitrary large spherical initial data with initial density away from the vacuum in the case the viscosity coefficients satisfy . In particular, we show that the density is strictly positive and bounded from the above and below in any finite time if the initial density is strictly positive.