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Zbl 1219.35189
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min
Pressure regularity criteria of the three-dimensional micropolar fluid flows. (English)
[J] Math. Methods Appl. Sci. 34, No. 5, 595-606 (2011). ISSN 0170-4214; ISSN 1099-1476/e

The authors study the regularity of weak solutions to the three-dimensional micropolar fluid flows. By the energy argument, the authors show that the weak solution is regular under the assumptions that the pressure field belongs to some Lebesgue space, or Morrey space, or multiplier space, or BMO space, or Besov space respectively.
[Cheng He (Beijing)]

MSC 2000:: *35Q35 Other equations arising in fluid mechanics
76D03 Existence, uniqueness, and regularity theory
35B65 Smoothness of solutions of PDE
76W05 Flows in presence of electromagnetic forces

Keywords: pressure regularity criteria; micropolar fluid flows

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