数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (2): 211-219.

• 论文 • 上一篇    下一篇

EXISTENCE OF GLOBAL SOLUTIONS OF SEMILINEAR STOKES EQUATION

丁夏畦1, 严国政2   

  1. 1. Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China;
    2. Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • 收稿日期:1991-07-17 修回日期:1992-06-04 出版日期:1993-06-25 发布日期:1993-06-25

EXISTENCE OF GLOBAL SOLUTIONS OF SEMILINEAR STOKES EQUATION

Ding Xiaxi1, Yan Guozhng2   

  1. 1. Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China;
    2. Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • Received:1991-07-17 Revised:1992-06-04 Online:1993-06-25 Published:1993-06-25

摘要: ∂u/∂t=△u+/u/vu-∂p/∂x1 ∂v/∂t=△v+/v/vv-∂p/∂x2 ∂u/∂x1+∂v/∂x2=0,=2/∂x12+2/∂x12 u(x,0)=u0(x),v(x,0)=v0(x)

Abstract: ∂u/∂t=△u+/u/vu-∂p/∂x1 ∂v/∂t=△v+/v/vv-∂p/∂x2 ∂u/∂x1+∂v/∂x2=0,=2/∂x12+2/∂x12 u(x,0)=u0(x),v(x,0)=v0(x)