On thermally driven fluid flows arising in astrophysics

TL;DR

This paper investigates the existence of global weak solutions for a thermally driven fluid flow model in astrophysics, governed by the Navier-Stokes-Fourier-Poisson system with specific boundary conditions.

Contribution

It establishes the existence of global weak solutions and the weak-strong principle for the complex astrophysical fluid model under inhomogeneous boundary temperature conditions.

Findings

Proved existence of global weak solutions.

Established the weak-strong principle.

Analyzed thermally driven fluid flows in astrophysical contexts.

Abstract

We consider the Navier-Stokes-Fourier-Poisson system driven by an inhomogeneous temperature distribution on the boundary of an exterior fluid domain. We impose the finite mass constraint, positive far field condition for the temperature as well as the no--slip boundary conditions for the velocity. The existence of global--in--time weak solutions and the weak-strong principle are proved.