摘要
研究三维有界光滑区域上的非齐次不可压Navier-Stokes方程的Stokes系统的全局强弱解.通过一个半离散化的Galerkin格式构造逼近解,利用一致估计进而通过取极限来得到原方程组的解,证明了不可压Stokes系统的全局强弱解.
The global weak and strong solutions to the three-dimensional Stokes equations of non-homogeneous incompressible Navier-Stokes equations in a bounded smooth domain are studied. The approximate solutions are constructed via a semi-discrete Galerkin scheme, using uniform estimates, and the solutions are obtained by passing the limit. The global weak and strong solutions for the incompressible Stokes equations are proved.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第2期216-221,共6页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(10771170)资助项目
