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EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA

  • Bae, Hyeong-Ohk (Department of Financial Engineering Ajou University) ;
  • Jin, Bum-Ja (Department of Mathematics Mokpo National University)
  • Received : 2010.08.30
  • Published : 2012.01.01

Abstract

We construct a mild solutions of the Navier-Stokes equations in half spaces for nondecaying initial velocities. We also obtain the uniform bound of the velocity field and its derivatives.

Keywords

References

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