English

Diffuse planar phase boundaries in a two-phase fluid with one incompressible phase

Analysis of PDEs 2013-06-11 v1

Abstract

This note studies a family of Navier-Stokes-Allen-Cahn systems parameterized by temperature. Derived from an internal energy that corresponds to one incompressible and one compressible phase, this family is considered as a simple model for water. Decreasing temperature across a critical value, a transition takes places from a situation without towards one with planar diffuse phase boundaries.

Keywords

Cite

@article{arxiv.1306.1905,
  title  = {Diffuse planar phase boundaries in a two-phase fluid with one incompressible phase},
  author = {Heinrich Freistuhler and Matthias Kotschote},
  journal= {arXiv preprint arXiv:1306.1905},
  year   = {2013}
}

Comments

3 pages, 1 figure

R2 v1 2026-06-22T00:30:21.284Z