Global regularity of the 2D micropolar fluid flows with zero angular viscosity. (English) Zbl 1402.35220

Summary: We prove the global existence and uniqueness of smooth solutions to the 2D micropolar fluid flows with zero angular viscosity.


35Q35 PDEs in connection with fluid mechanics
76S05 Flows in porous media; filtration; seepage
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35B65 Smoothness and regularity of solutions to PDEs
76A05 Non-Newtonian fluids
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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