Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain

Zhi-Min Chen

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arXiv · 2501.13035

Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain

Zhi-Min Chen

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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.

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Zhi-Min Chen. 2025-01-22. Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain. https://arxiv.org/abs/2501.13035

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