Strong solutions in the dynamical theory of compressible fluid mixtures
Strong solutions in the dynamical theory of compressible fluid mixtures
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2015
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Zacher, Rico
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Mathematical Models & Methods in Applied Sciences ; 25 (2015), 7. - S. 1217-1256. - ISSN 0218-2025. - eISSN 1793-6314
Zusammenfassung
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.
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510 Mathematik
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Navier-Stokes-Cahn-Hilliard equations, compressible fluids, immiscible binry fluids, diffuse interfaces, hyperbolic–parabolic systems
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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. Available under: doi: 10.1142/S0218202515500311BibTex
@article{Kotschote2015Stron-31374, year={2015}, doi={10.1142/S0218202515500311}, title={Strong solutions in the dynamical theory of compressible fluid mixtures}, number={7}, volume={25}, issn={0218-2025}, journal={Mathematical Models & Methods in Applied Sciences}, pages={1217--1256}, author={Kotschote, Matthias and Zacher, Rico} }
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