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On weak solutions to a diffuse interface model of a binary mixture of compressible fluids
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SYSNO ASEP 0452994 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On weak solutions to a diffuse interface model of a binary mixture of compressible fluids Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 9, č. 1 (2016), s. 173-183Number of pages 11 s. Language eng - English Country US - United States Keywords Euler-Cahn-Hilliard system ; weak solution ; diffuse interface model Subject RIV BA - General Mathematics R&D Projects GA13-00522S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000369601800015 EID SCOPUS 84958758166 DOI 10.3934/dcdss.2016.9.173 Annotation We consider the Euler-Cahn-Hilliard system proposed by Lowengrub and Truskinovsky describing the motion of a binary mixture of compressible fluids. We show that the associated initial-value problem possesses infinitely many global-in-time weak solutions for any finite energy initial data. A modification of the method of convex integration is used to prove the result. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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