南阳师范学院学报Issue(12)：7-11,5.
带外力的可压缩Navier-Stokes方程的自由边界问题
Free boundary problem to the one-dimensional compressible Navier-Stokes equations with external force
张帆1
作者信息
- 1. 华北水利水电大学 数学与信息科学学院，河南 郑州450011
- 折叠
摘要
Abstract
This paper is about the free boundary value problem to one-dimensional isentropic compressible Navier-Stokes equations with stress free boundary condition and density-dependent viscosityμ(ρ) =ρα,α∈(0,1]. It is proved that there is a unique global strong solution to the problem when the one dimensional isentropic compressi-ble Navier-Stokes equations are considered as a linear system through energy estimate, a new entropy estimate, and upper and lower bounds of the density estimate, etc.关键词
Navier-Stokes方程/自由边界/强解/能量估计/新熵估计Key words
Navier-Stokes equations/free boundary/strong solution/energy estimate/a new entropy estimate分类
数理科学引用本文复制引用
张帆..带外力的可压缩Navier-Stokes方程的自由边界问题[J].南阳师范学院学报,2015,(12):7-11,5.
