On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space. (English) Zbl 1191.35217
Summary: The regularity of weak solutions and blow-up criteria for smooth solutions to the micropolar fluid equations in three dimensional space are studied in the Lorentz space . We obtain that if for with , or if for with , or if the pressure for with , or if for with , then the weak solution satisfying the energy inequality is a smooth solution on .
|35Q35||PDEs in connection with fluid mechanics|
|76D03||Existence, uniqueness, and regularity theory|
|76W05||Magnetohydrodynamics and electrohydrodynamics|