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dc.contributor.authorHuo, Xiaokai
dc.contributor.authorJüngel, Ansgar
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2019-03-14T13:46:36Z
dc.date.available2019-03-14T13:46:36Z
dc.date.issued2019-07-17
dc.identifier.citationHuo, X., Jüngel, A., & Tzavaras, A. E. (2019). High-friction limits of Euler flows for multicomponent systems. Nonlinearity, 32(8), 2875–2913. doi:10.1088/1361-6544/ab12a6
dc.identifier.doi10.1088/1361-6544/ab12a6
dc.identifier.urihttp://hdl.handle.net/10754/631571
dc.description.abstractThe high-friction limit in Euler-Korteweg equations for fluid mixtures is analyzed. The convergence of the solutions towards the zeroth-order limiting system and the first-order correction is shown, assuming suitable uniform bounds. Three results are proved: the first-order correction system is shown to be of Maxwell-Stefan type and its diffusive part is parabolic in the sense of Petrovskii. The high-friction limit towards the first-order Chapman-Enskog approximate system is proved in the weak-strong solution context for general Euler-Korteweg systems. Finally, the limit towards the zeroth-order system is shown for smooth solutions in the isentropic case and for weak-strong solutions in the Euler-Korteweg case. These results include the case of constant capillarities and multicomponent quantum hydrodynamic models.
dc.description.sponsorshipPart of this manuscript was written during the stay of the second author at the King Abdullah University of Science and Technology (KAUST). He thanks KAUST for the hospitality and support during his stay. Furthermore, he acknowledges partial support from the Austrian Science Fund (FWF), grants F65, P27352, P30000, and W1245.
dc.language.isoen
dc.publisherIOP Publishing
dc.relation.urlhttps://iopscience.iop.org/article/10.1088/1361-6544/ab12a6
dc.rightsArchived with thanks to IOP Publishing and the London Mathematical Society
dc.subjectHigh-friction limit
dc.subjectrelaxation limit
dc.subjectEuler-Korteweg equations
dc.subjectMaxwell-Stefan systems
dc.subjectrelative entropy method
dc.titleHigh-friction limits of Euler flows for multicomponent systems
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalNonlinearity
dc.eprint.versionPre-print
dc.contributor.institutionInstitute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040 Wien, Austria
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
pubs.publication-statusAccepted
dc.identifier.arxivid1810.08225
kaust.personHuo, Xiaokai
kaust.personTzavaras, Athanasios
refterms.dateFOA2019-03-14T13:46:37Z


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