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arXiv:1705.02805 [math.AP]AbstractReferencesReviewsResources

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

Kyungkeun Kang, Hwa Kil Kim, Jae-Myoung Kim

Published 2017-05-08Version 1

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.

Comments: 27 pages
Categories: math.AP
Subjects: 76A05, 76A05, 76D05, 49N60
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