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Relative entropy method for measure-valued solutions in natural sciences

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dc.abstract.enWe describe the applications of the relative entropy framework introduced in \cite{Daf}. In particular the uniqueness of an entropy solution is proven for a scalar conservation law, using the notion of measure-valued entropy solutions. Further we survey recent results concerning measure-valued-strong uniqueness for a number of physical systems -- incompressible and compressible Euler equations, compressible Navier-Stokes, polyconvex elastodynamics and general hyperbolic conservation laws, as well as long-time asymptotics of the McKendrick-Von Foerster equation.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorDębiec, Tomasz
dc.contributor.authorGwiazda, Piotr
dc.contributor.authorŚwierczewska-Gwiazda, Agnieszka
dc.contributor.authorŁyczek, Kamila
dc.date.accessioned2024-01-25T19:10:35Z
dc.date.available2024-01-25T19:10:35Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number1
dc.description.volume52
dc.identifier.doi10.12775/TMNA.2018.027
dc.identifier.issn1230-3429
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/118298
dc.identifier.weblinkhttps://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2018.027
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTopological Methods in Nonlinear Analysis
dc.relation.pages311-335
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enMeasure-valued solution
dc.subject.enweak-strong uniqueness
dc.subject.enscalar conservation laws
dc.titleRelative entropy method for measure-valued solutions in natural sciences
dc.typeJournalArticle
dspace.entity.typePublication