数学物理学报 ›› 1998, Vol. 18 ›› Issue (1): 19-24.

• 论文 • 上一篇    下一篇

可压缩的Navier-Stokes方程H2强解的整体存在性

尹会成   

  1. 南京大学数学系 南京 210093
  • 收稿日期:1996-03-11 出版日期:1998-03-26 发布日期:1998-03-26
  • 基金资助:
    国家自然科学基金资助

The Global Existence of Solutions for Three Dimensional Compressible Navier-Stokes Equations

Yin Huicheng   

  1. Department of Mathematics Naming Universiyt, Nanjing 210093
  • Received:1996-03-11 Online:1998-03-26 Published:1998-03-26

摘要: 该文对于三维可压缩的Navier-Stokes方程,当其具有小扰动初值时,证明了H2(R3)强解的整体存在性.

关键词: Navier-Stokes方程, Sobolev空间, 局部延拓方法

Abstract: In this paper, we proved the global existence of solutions for three dimensional compressible Navier-Stokes equations with the initial data that are small perturbation from a constant state.

Key words: Navier-Stokes equations, Strong solution