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math.AP2026
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…
math.AP2025
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…
math.AP2025
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…