4 papers · 1 filter
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…
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…
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…
On optimal boundary control of Ericksen-Leslie system in dimension two
Qiao Liu, Changyou Wang, Xiaotao Zhang +1
In this paper, we consider the boundary value problem of a simplified Ericksen-Leslie system in dimension two with non-slip boundary condition for the velocity field and time-d…