On Attractors for a Sharp Interface Model of Exothermic Phase Transitions
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چکیده
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. Submitted to Interfaces and Free Boundaries
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تاریخ انتشار 2003