Authors:	Lukáčová-Medvid’ová, Mária Schömer, Andreas
Title:	Compressible Navier–Stokes equations with potential temperature transport : stability of the strong solution and numerical error estimates
Online publication date:	18-Jan-2023
Year of first publication:	2023
Language:	english
Abstract:	We present a dissipative measure-valued (DMV)-strong uniqueness result for the compressible Navier–Stokes system with potential temperature transport. We show that strong solutions are stable in the class of DMV solutions. More precisely, we prove that a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists. As an application of the DMV-strong uniqueness principle we derive a priori error estimates for a mixed finite element-finite volume method. The numerical solutions are computed on polyhedral domains that approximate a sufficiently a smooth bounded domain, where the exact solution exists.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-8399
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Journal of mathematical fluid mechanics 25
Pages or article number:	1
Publisher:	Springer
Publisher place:	Cham (ZG)
Issue date:	2023
ISSN:	1422-6952
Publisher DOI:	10.1007/s00021-022-00733-z
Appears in collections:	DFG-491381577-H