On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition
Analysis of PDEs
2022-07-05 v1
Abstract
In this paper, our goal is to define a measure valued solution of compressible Navier--Stokes--Fourier system for a heat conducting fluid with Dirichlet boundary condition for temperature in a bounded domain. The definition is based on the weak formulation of entropy inequality and ballistic energy inequality. Moreover, we obtain the weak(measure valued)-strong uniqueness property of this solution with the help of relative energy.
Keywords
Cite
@article{arxiv.2207.00991,
title = {On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition},
author = {Nilasis Chaudhuri},
journal= {arXiv preprint arXiv:2207.00991},
year = {2022}
}