Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport

Lukáčová-Medviďova, Mária; Schömer, Andreas

doi:http://doi.org/10.25358/openscience-8299

Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport

dc.contributor.author	Lukáčová-Medviďova, 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.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.identifier.doi	http://doi.org/10.25358/openscience-8299
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8315
dc.language.iso	eng	de
dc.rights	CC-BY-4.0	*
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
jgu.journal.title	Journal of mathematical fluid mechanics	de
jgu.journal.volume	24	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.name	Johannes Gutenberg-Universität Mainz
jgu.organisation.number	7940
jgu.organisation.place	Mainz
jgu.organisation.ror	https://ror.org/023b0x485
jgu.pages.alternative	82	de
jgu.publisher.doi	10.1007/s00021-022-00713-3	de
jgu.publisher.issn	1422-6952	de
jgu.publisher.name	Springer International Publishing AG	de
jgu.publisher.place	Cham	de
jgu.publisher.year	2022
jgu.rights.accessrights	openAccess
jgu.subject.ddccode	510	de
jgu.subject.dfg	Naturwissenschaften	de
jgu.type.dinitype	Article	en_GB
jgu.type.resource	Text	de
jgu.type.version	Published version	de

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