Relative energy and weak–strong uniqueness of a two-phase viscoelastic phase separation model

Brunk, Aaron; Lukáčová-Medvid’ová, Mária

Relative energy and weak–strong uniqueness of a two-phase viscoelastic phase separation model

dc.contributor.author	Brunk, Aaron
dc.contributor.author	Lukáčová-Medvid’ová, Mária
dc.date.accessioned	2023-01-30T10:00:12Z
dc.date.available	2023-01-30T10:00:12Z
dc.date.issued	2022
dc.description.abstract	The aim of this paper is to analyze a viscoelastic phase separation model. We derive a suitable notion of the relative energy taking into account the nonconvex nature of the energy law for the viscoelastic phase separation. This allows us to prove the weak–strong uniqueness principle. We will provide the estimates for the full model in two space dimensions. For a reduced model, we present the estimates in three space dimensions and derive conditional relative energy estimates.	en_GB
dc.description.sponsorship	Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577	de
dc.identifier.doi	http://doi.org/10.25358/openscience-8693
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8709
dc.language.iso	eng	de
dc.rights	CC-BY-NC-ND-4.0	*
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	Relative energy and weak–strong uniqueness of a two-phase viscoelastic phase separation model	en_GB
dc.type	Zeitschriftenaufsatz	de
jgu.journal.title	ZAMM : journal of applied mathematics and mechanics	de
jgu.journal.volume	Version of Record (VoR)	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	e202100240	de
jgu.publisher.doi	10.1002/zamm.202100240	de
jgu.publisher.issn	1521-4001	de
jgu.publisher.name	Wiley-VCH	de
jgu.publisher.place	Berlin
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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