Regularity criterion for generalized Newtonian fluids in bounded domains |
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Authors: | Hyeong-Ohk Bae |
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Affiliation: | Department of Financial Engineering, Ajou University, Suwon 443-749, Republic of Korea |
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Abstract: | The regularity of a non-Newtonian flow in a domain with a boundary cannot be treated easily because of the nonlinear viscosity term and the global property of the pressure. A distance function was used in a previous study to obtain a strong solution. In the present study, using the distance function idea, we obtain Serrin-type regularity criteria for the vorticity and the velocity with regard to non-Newtonian equations with shear-dependent viscosity in a bounded domain. |
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Keywords: | Non-Newtonian fluid Regularity Serrin-type criterion |
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