4 papers
Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain
Zhi-Min Chen
A thermal convection flow in the three-dimensional unbounded fluid domain exterior to a sphere is considered. The viscosity force is determined by a fractional power of the Stokes…
Strong solutions of fractional Boussinesq equations in an exterior domain
Zhi-Min Chen, Qiuyue Zhang
A thermal convection fluid motion in the three-dimensional domain exterior to a sphere is considered. A purely conductive steady state arises due to the fluid heated from the spher…
decay estimates of weak solutions to 3D fractional MHD equations in exterior domains
Zhi-Min Chen, Bo-Qing Dong, Qiuyue Zhang
Consider three-dimensional fractional MHD equations in an exterior domain with the Dirichlet boundary condition assumed. Asymptotic behaviours of weak solutions to the three-dimens…
Hopf bifurcation of a non-parallel Navier-Stokes flow
Zhi-Min Chen
A plane non-parallel flow in a square fluid domain exhibits an odd number of vortices. A spectral structure is found to have a non-real solution of the spectral problem linearized…