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math.AP2019
Global well-posedness of magnetohydrodynamic equations
Chengfei Ai, Zhong Tan, Jianfeng Zhou
We study the global well-posedness of magnetohydrodynamic (MHD) equations. The hydrodynamic system consists of the Navier-Stokes equations for the fluid velocity coupled with a red…
math.AP2019
Regularity of weak solutions to a certain class of parabolic system
Zhong Tan, Jianfeng Zhou
We study the regularity of weak solutions to a certain class of second order parabolic system under the only assumption of continuous coefficients. By using the caloric approxi…
math.AP2019
Well-posedness of compressible magneto-micropolar fluid equations
Cuiman Jia, Zhong Tan, Jianfeng Zhou
We are concerned with compressible magneto-micropolar fluid equations (1.1)-(1.2). The global existence and large time behaviour of solutions near a constant state to the magneto-m…