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Bull. Korean Math. Soc. 2015; 52(2): 619-626

Printed March 31, 2015

https://doi.org/10.4134/BKMS.2015.52.2.619

Copyright © The Korean Mathematical Society.

Regularity criteria for the $p$-harmonic and Ostwald-de Waele flows

Jishan Fan, Gen Nakamura, and Yong Zhou

Nanjing Forestry University, Inha University, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group

Abstract

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This paper considers regularity for the $p$-harmonic and \linebreak Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for $1

Keywords: $p$-harmonic flow, regularity criterion, weak solutions

MSC numbers: 35K92, 76A15, 82D40

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