On attractors for a sharp interface model of exothermic phase transitions

Details On attractors for a sharp interface model of exothermic phase transitions On attractors for a sharp interface model of exothermic phase transitions

2003-07-31

arxiv.org/abs/nlin/0308001v1

Nonlinear Sciences

Chaotic Dynamics

21 pages, 2 figures

Scientific paper

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.

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