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arXiv · 1610.00229

H\"older continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

Václav Mácha·Jakub Tichý
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Abstract

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].

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Václav Mácha, Jakub Tichý. 2016-10-02. H\"older continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions. https://arxiv.org/abs/1610.00229

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