Internal Structure of Dynamic Phase-transition Fronts in a Fluid with Two Compressible or Incompressible Phases
by Heinrich Freistuehler   Matthias Kotschote  

Vol. 10 No. 4 (2015) P.541~P.552

ABSTRACT

The framework of this article is the Navier-Stokes-Allen-Cahn system for the dynamics of a fluid whose two phases can transform into each other. It studies traveling waves that describe the internal structure of moving interfaces between the phases. A general result on the existence and bifurcation of these waves is detailed for fluids with (1) two compressible phases, (2) one incompressible and one compressible phase, (3) two incompressible phases, and (4) associated limits in which one or both of the two phases are almost incompressible.

KEYWORDS
Navier-Stokes-Allen-Cahn equations, compressible / incompressible fluids, traveling waves, phase transitions.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 76T99, 82B26, 35C07, 76N20, 35Q35.

MILESTONES

Received: 2015-04-01
Revised : 2015-06-25
Accepted: 2015-06-08

Download Full Content