A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations

Miguel Loayza; Marko A. Rojas-Medar

doi:10.1063/1.4942047

A weak-L_p Prodi-Serrin type regularity criterion for the micropolar fluid equations

Miguel Loayza
, Marko A. Rojas-Medar

Departamento de Matemática

Universidade Federal de Pernambuco

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

22 Citas (Scopus)

Resumen

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_s(0,T; L^r,∞(Ω)) or ||u||L^s,∞(0,T;L^r,∞(Ω) is bounded from above by a specific constant, where (3/r) + (2/s) = 1 and r > 3. C 2016 AIP Publishing LLC.

Idioma original	Inglés
Número de artículo	021512
Publicación	Journal of Mathematical Physics
Volumen	57
N.º	2
DOI	https://doi.org/10.1063/1.4942047
Estado	Publicada - feb 2016

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