Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (2): 211-219.

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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

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)

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