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arXiv · 2207.00991

On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition

Nilasis Chaudhuri
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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.

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Nilasis Chaudhuri. 2022-07-03. On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition. https://arxiv.org/abs/2207.00991

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