Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2000; 37(6): 957-975
Printed November 1, 2000
Copyright © The Korean Mathematical Society.
Regularity and singularity of weak solutions to Ostwald-de Waele flows
Hyeong-Ohk Bae, Hi Jun Choe, and Do Wan Kim
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 HausdOlif dimension of the set of singular times for the weak solutions.
Keywords: Ostwald-de Waele flow, regularity, Hausdorff dimension singularity, Serrin's condition
MSC numbers: 76A05
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