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Abstract:
We present results on dynamics generated by nonequilibrium sharp-interface Stefan models, with energy
deposition at the interface. The models are related to condensed-state combustion, “explosive” crystallization
and some other phase transition type phenomena. We demonstrate that in many respects, although described by
partial differential equations, asymptotic dynamics are essentially finite-dimensional. We also examine
phase-locking effects that take place for propagation in periodic media. This is a joint work with M. Frankel of IUPUI.
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