DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport
Analysis of PDEs
2026-05-25 v1 Numerical Analysis
Numerical Analysis
Abstract
We establish a DMV-strong uniqueness result for the compressible Navier-Stokes system with potential temperature transport. The concept of generalized, the so-called dissipative measure-valued (DMV), solutions was proposed in [7], where their global-in-time existence was proved. Here we show that strong solutions are stable in the class of DMV solutions. More precisely, a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists.
Keywords
Cite
@article{arxiv.2106.12812,
title = {DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport},
author = {Mária Lukáčová-Medvid'ová and Andreas Schömer},
journal= {arXiv preprint arXiv:2106.12812},
year = {2026}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.12435