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2015 / December Volume 10 No.4
Internal Structure of Dynamic Phase-transition Fronts in a Fluid with Two Compressible or Incompressible Phases
Published Date
2015 / December
Title
Internal Structure of Dynamic Phase-transition Fronts in a Fluid with Two Compressible or Incompressible Phases
Author
Heinrich Freistuehler, Matthias Kotschote
Keyword
Navier-Stokes-Allen-Cahn equations, compressible / incompressible fluids, traveling waves, phase transitions.
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Pagination
541-552
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.
AMS Subject
Classification
76T99, 82B26, 35C07, 76N20, 35Q35.
Received
2015-06-25
Accepted
2015-06-08
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