# REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS

• Fan, Jishan (Department of Applied Mathematics Nanjing Forestry University) ;
• Nakamura, Gen (Department of Mathematics Inha University) ;
• Zhou, Yong (School of Mathematics Shanghai University of Finance and Economics, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group King Abdulaziz University)
• Published : 2015.03.31
• 101 9

#### Abstract

This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.

#### Keywords

p-harmonic flow;regularity criterion;weak solutions

#### Acknowledgement

Supported by : King Abdulaziz University

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#### Cited by

1. On scattering of a material over the Ostwald-de Waele fluid bed vol.131, pp.12, 2016, https://doi.org/10.1140/epjp/i2016-16440-8