Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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REGULARITY AND SINGULARITY OF WEAK SOLUTIONS TO OSTWALD-DE WAELE FLOWS

  • Bae, Hyeong-Ohk (Department of Mathematics, HanNam University) ;
  • Choe, Hi-Jun (Department of Applied Mathematics, Korea Advanced Institute of Science and Technology) ;
  • Kim, Do-Wan (Department of Mathematics, Sunmoon University)
  • Published : 2000.11.01
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Abstract

We find a regularity criterion for the Ostwald-de Waele models like Serrin's condition to the Navier-Stokes equations. Moreover, we show short time existence and estimate the Hausdorff dimension of the set of singular times for the weak solutions.

Keywords

References

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