Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain
Abstract
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 operator. A purely conductive steady state arises due to the fluid heated from the sphere. A weak solution of the fluid motion problem is obtained and global stability of the steady-state solution in $L^2$ is provided.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Differential Equations and Boundary Problems
Navier-Stokes equation solutions
Publication details
- Journal / source
- Results in Applied Mathematics
- Volume
- 30
- Pages
- 100712–100712
- Publication date
- 1 May 2026
- Language
- EN