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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.

Special applied math seminar