Strong solutions in the dynamical theory of compressible fluid mixtures

Kotschote, Matthias; Zacher, Rico

Strong solutions in the dynamical theory of compressible fluid mixtures

Dateien

260_Kotschote_Zacher.pdfGröße: 588.02 KBDownloads: 465

Datum

2009

Autor:innen

Kotschote, Matthias

Zacher, Rico

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In this paper we investigate the compressible Navier-Stokes-Cahn-Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinowsky. 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.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

KOTSCHOTE, Matthias, Rico ZACHER, 2009. Strong solutions in the dynamical theory of compressible fluid mixtures

BibTex

@unpublished{Kotschote2009Stron-757,
  year={2009},
  title={Strong solutions in the dynamical theory of compressible fluid mixtures},
  author={Kotschote, Matthias and Zacher, Rico}
}

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