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arXiv · 1811.08957

On weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws

Nilasis Chaudhuri
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Abstract

The goal of the present paper is to study the weak--strong uniqueness problem for the compressible Navier--Stokes system with a general barotropic pressure law. Our results include the case of a hard sphere pressure of Van der Waals type with a non--monotone perturbation and a Lipschitz perturbation of a monotone pressure. Although the main tool is the relative energy inequality, the results are conditioned by the presence of viscosity and do not seem extendable to the Euler system.

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Nilasis Chaudhuri. 2018-11-21. On weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws. https://doi.org/10.1016/j.nonrwa.2019.03.004

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