Gutenberg Open Science: Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8299

Full metadata record

DC Field	Value	Language
dc.contributor.author	Lukáčová-Medvid’ová, Mária	-
dc.contributor.author	Schömer, Andreas	-
dc.date.accessioned	2022-12-14T10:36:19Z	-
dc.date.available	2022-12-14T10:36:19Z	-
dc.date.issued	2022	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8315	-
dc.description.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.	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	Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-8299	-
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	24	de
jgu.pages.alternative	82	de
jgu.publisher.year	2022	-
jgu.publisher.name	Springer International Publishing AG	de
jgu.publisher.place	Cham	de
jgu.publisher.issn	1422-6952	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s00021-022-00713-3	de
jgu.organisation.ror	https://ror.org/023b0x485	-
jgu.subject.dfg	Naturwissenschaften	de
Appears in collections:	DFG-491381577-H

Files in This Item:

	File	Description	Size	Format
	existence_of_dissipative_solu-20221114154331543.pdf		958.99 kB	Adobe PDF	View/Open

Show simple item record