Phase separation in a gravity field
Analysis of PDEs
2014-01-10 v1
Abstract
We prove here well-posedness and convergence to equilibria for the solution trajectories associated to a model for solidification of a liquid content of a rigid container in a gravity field. We observe that the gravity effects, which can be neglected without considerable changes of the process on finite time intervals, have a substantial influence on the long time behavior of the evolution system. Without gravity, we find a temperature interval, in which all phase distributions with a prescribed total liquid contents are admissible equilibria, while, under the influence of gravity, the only equilibrium distribution in a connected container consists in two pure phases separated by one plane interface perpendicular to the gravity force.
Cite
@article{arxiv.0905.2131,
title = {Phase separation in a gravity field},
author = {Pavel Krejci and Elisabetta Rocca and Juergen Sprekels},
journal= {arXiv preprint arXiv:0905.2131},
year = {2014}
}