Time periodic motion of temperature driven compressible fluids

TL;DR

This paper proves the existence of time periodic weak solutions for the Navier-Stokes-Fourier system modeling compressible fluids under periodic heating and forces, applicable to large data scenarios.

Contribution

It establishes the existence of time periodic solutions for the compressible Navier-Stokes-Fourier system with large data, under periodic boundary conditions.

Findings

Existence of time periodic weak solutions for large data

Applicable to fluids with periodic heating and forces

Addresses compressible viscous fluid dynamics

Abstract

We consider the Navier-Stokes-Fourier system describing the motion of a compressible viscous fluid in a container with impermeable boundary subject to time periodic heating and under the action of a time periodic potential force. We show the existence of a time periodic weak solution for arbitrarily large physically admissible data.