Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Phase-field descriptions of two-phase compressible fluid flow: Interstitial working and a reduction to Korteweg theory


Authors: Heinrich Freistühler and Matthias Kotschote
Journal: Quart. Appl. Math.
MSC (2010): Primary 35Q35
DOI: https://doi.org/10.1090/qam/1504
Published electronically: April 20, 2018
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The Navier-Stokes-Allen-Cahn (NSAC), the Navier-Stokes-Cahn-Hilliard (NSCH), and the Navier-Stokes-Korteweg (NSK) equations have been used in the literature to model the dynamics of two-phase fluids. In their previous article Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids, Arch. Rational Mech. Anal. 224 (2017), 1-20, the authors showed that both NSAC and NSCH reduce to versions of NSK, when one makes the (unphysical) assumption that microforces are absent. The present paper shows that the same reduction property holds without that assumption.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2010): 35Q35

Retrieve articles in all journals with MSC (2010): 35Q35


Additional Information

Heinrich Freistühler
Affiliation: Department of Mathematics, University of Konstanz, 78457 Konstanz, Germany
Email: heinrich.freistuehler@uni-konstanz.de

Matthias Kotschote
Affiliation: Department of Mathematics, University of Konstanz, 78457 Konstanz, Germany
Email: matthias.kotschote@uni-konstanz.de

DOI: https://doi.org/10.1090/qam/1504
Received by editor(s): January 10, 2018
Received by editor(s) in revised form: February 25, 2018
Published electronically: April 20, 2018
Article copyright: © Copyright 2018 Brown University

American Mathematical Society