On attractors for a sharp interface model of exothermic phase transitions
Chaotic Dynamics
2016-09-08 v1
Abstract
We study a free interface problem related to combustion of condensed matter and some non-equilibrium exothermal phase transitions. In spite of a variety of non-trivial dynamical scenarios exhibited by the model the solutions are uniformly bounded and the interface velocity is a smooth function. The main result of the paper establishes existence of a compact connected attractor for the classical solutions of the problem. Numerical evidence leads to the conjecture that the fractal dimension of the attractor is finite.
Cite
@article{arxiv.nlin/0308001,
title = {On attractors for a sharp interface model of exothermic phase transitions},
author = {M. Frankel and V. Roytburd},
journal= {arXiv preprint arXiv:nlin/0308001},
year = {2016}
}
Comments
21 pages, 2 figures