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On Attractors for a Sharp Interface Model of Exothermic Phase Transitions by Frankel, M.; Roytburd, V. is a scholarly article available to read on EtoBox.

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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.

Author

Frankel, M.; Roytburd, V.

Published

2003

Language

EN