A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces | Zendy

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A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces

Author(s) -

Zujin Zhang

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.104

Subject(s) - homogeneous , mathematics , besov space , mathematical analysis , pure mathematics , interpolation space , functional analysis , combinatorics , biochemistry , chemistry , gene

By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L. Zhang, On the regularity criterion for threedimensional micropolar fluid flows in Besov spaces, Nonlinear Anal. 73(2010), 2334– 2341] in some sense.

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