Initial Boundary Value Problem for the Viscous Incompressible Flows

  • Hisako Kato
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 5)


The present paper is concerned with a new model for the viscous incompressible fluids. We propose that the motion of the viscous incompressible fluids is governed by two type equations, namely the Navier-Stokes equations at times when the velocity gradient is below a given constant and the `Ladyzhenskaia equations at times when the velocity gradient is above the constant.


Weak Solution Velocity Gradient Global Existence Strong Solution Viscous Incompressible Fluid 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Hisako Kato
    • 1
  1. 1.Graduate School of MathematicsKyushu University, RopponmatsuFukuoka 810Japan

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