Strong solutions in the dynamical theory of compressible fluid mixtures

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KOTSCHOTE, Matthias, Rico ZACHER, 2015. Strong solutions in the dynamical theory of compressible fluid mixtures. In: Mathematical Models & Methods in Applied Sciences. 25(7), pp. 1217-1256. ISSN 0218-2025. eISSN 1793-6314

@article{Kotschote2015Stron-31374, title={Strong solutions in the dynamical theory of compressible fluid mixtures}, year={2015}, doi={10.1142/S0218202515500311}, number={7}, volume={25}, issn={0218-2025}, journal={Mathematical Models & Methods in Applied Sciences}, pages={1217--1256}, author={Kotschote, Matthias and Zacher, Rico} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/31374"> <dcterms:issued>2015</dcterms:issued> <dc:creator>Kotschote, Matthias</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-07-07T06:26:41Z</dc:date> <dcterms:title>Strong solutions in the dynamical theory of compressible fluid mixtures</dcterms:title> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/31374"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-07-07T06:26:41Z</dcterms:available> <dcterms:abstract xml:lang="eng">In this paper we investigate the compressible Navier–Stokes–Cahn–Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinovsky. This model describes the flow of a binary compressible mixture; the fluids are supposed to be macroscopically immiscible, but partial mixing is permitted leading to narrow transition layers. The internal structure and macroscopic dynamics of these layers are induced by a Cahn–Hilliard law that the mixing ratio satisfies. The PDE constitute a strongly coupled hyperbolic–parabolic system. We establish a local existence and uniqueness result for strong solutions.</dcterms:abstract> <dc:contributor>Zacher, Rico</dc:contributor> <dc:creator>Zacher, Rico</dc:creator> <dc:language>eng</dc:language> <dc:contributor>Kotschote, Matthias</dc:contributor> </rdf:Description> </rdf:RDF>

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