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arXiv:1610.00229 [math.AP]AbstractReferencesReviewsResources

Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

Václav Mácha, Jakub Tichý

Published 2016-10-02Version 1

This paper is concerned with non-stationary flows of sheart-hinning fluids in a bounded two-dimensional C^{2;1} domain. Assuming perfect slip boundary conditions, we provide a proof of the existence of a solution with the H\"older continuous velocity gradients and pressure under condition that a stress tensor satisfies power-law with growth p\in[5/3; 2].

Comments: 19 pages
Categories: math.AP
Subjects: 35B65, 35K51, 35Q35, 76D03
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