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arXiv · 1705.02805

Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations

Kyungkeun Kang·Hwa Kil Kim·Jae-Myoung Kim
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Abstract

We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the $H^3$-norm of initial data is sufficiently small, then the regular solution exists globally in time.

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Kyungkeun Kang, Hwa Kil Kim, Jae-Myoung Kim. 2017-05-08. Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations. https://arxiv.org/abs/1705.02805

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