A weak-L^sup p^ Prodi-Serrin type regularity criterion for the micropolar fluid equations

A weak-L^sup p^ Prodi-Serrin type regularity criterion for the micropolar fluid equations

We investigate regularity criteria for weak solutions of the micropolar fluid equations in a bounded three-dimensional domain. We show that the solution (u, w) is strong on [0, T] if either u ... L...(0, T; L...(...)) or ... is bounded from above by a specific constant, where (3/r) + (2/s) = 1 and r...

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Veröffentlicht in:Journal of mathematical physics 2016-02, Vol.57 (2), p.1
Hauptverfasser: Loayza, Miguel, Rojas-Medar, Marko A
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Fluid mechanics
Mathematical problems
Physics
Three dimensional imaging
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Zusammenfassung:We investigate regularity criteria for weak solutions of the micropolar fluid equations in a bounded three-dimensional domain. We show that the solution (u, w) is strong on [0, T] if either u ... L...(0, T; L...(...)) or ... is bounded from above by a specific constant, where (3/r) + (2/s) = 1 and r > 3. (ProQuest: ... denotes formulae/symbols omitted.)
ISSN:0022-2488
1089-7658