Authors:	Lukáčová-Medvid’ová, Mária Schömer, Andreas
Title:	Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport
Online publication date:	14-Dec-2022
Year of first publication:	2022
Language:	english
Abstract:	We introduce dissipative solutions to the compressible Navier-Stokes system with potential temperature transport motivated by the concept of Young measures. We prove their global-in-time existence by means of convergence analysis of a mixed finite element-finite volume method. If a strong solution to the compressible Navier-Stokes system with potential temperature transport exists, we prove the strong convergence of numerical solutions. Our results hold for the full range of adiabatic indices including the physically relevant cases in which the existence of global-in-time weak solutions is open.
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-8299
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 24
Pages or article number:	82
Publisher:	Springer International Publishing AG
Publisher place:	Cham
Issue date:	2022
ISSN:	1422-6952
Publisher DOI:	10.1007/s00021-022-00713-3
Appears in collections:	DFG-491381577-H