Gutenberg Open Science: Compressible Navier–Stokes equations with potential temperature transport : stability of the strong solution and numerical error estimates

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8399

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DC Field	Value	Language
dc.contributor.author	Lukáčová-Medvid’ová, Mária	-
dc.contributor.author	Schömer, Andreas	-
dc.date.accessioned	2023-01-18T12:16:13Z	-
dc.date.available	2023-01-18T12:16:13Z	-
dc.date.issued	2023	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8415	-
dc.description.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.	en_GB
dc.description.sponsorship	Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577	de
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	Compressible Navier–Stokes equations with potential temperature transport : stability of the strong solution and numerical error estimates	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-8399	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	Journal of mathematical fluid mechanics	de
jgu.journal.volume	25	de
jgu.pages.alternative	1	de
jgu.publisher.year	2023	-
jgu.publisher.name	Springer	de
jgu.publisher.place	Cham (ZG)	-
jgu.publisher.issn	1422-6952	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s00021-022-00733-z	de
jgu.organisation.ror	https://ror.org/023b0x485	-
jgu.subject.dfg	Naturwissenschaften	de
Appears in collections:	DFG-491381577-H

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