Publikation: 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. 2015, 25(7), pp. 1217-1256. ISSN 0218-2025. eISSN 1793-6314. Available under: doi: 10.1142/S0218202515500311
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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Fachgebiet (DDC)
510 Mathematik
Schlagwörter
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. 2015, 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},
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