Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min Pressure regularity criteria of the three-dimensional micropolar fluid flows. (English) Zbl 1219.35189 Math. Methods Appl. Sci. 34, No. 5, 595-606 (2011). 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. Reviewer: Cheng He (Beijing) Cited in 30 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 35B65 Smoothness and regularity of solutions to PDEs 76W05 Magnetohydrodynamics and electrohydrodynamics Keywords:pressure regularity criteria; micropolar fluid flows × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Eringen, Theory of micropolar fluids, Journal of Mathematics and Mechanics 16 pp 1– (1966) · Zbl 0145.21302 [2] Doi, The Theory of Polymer Dynamics (1986) [3] Popel, A continuum model of blood flow, Biorheology 11 pp 427– (1974) [4] Galdi, A note on the existence and uniqueness of solutions of micropolar fluid equations, International Journal of Engineering Science 14 pp 105– (1977) · Zbl 0351.76006 · doi:10.1016/0020-7225(77)90025-8 [5] Łukaszewicz, Modeling and Simulation in Science, Engineering and Technology, in: Micropolar Fluids. 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