On a Penrose { Fife Model with Zero Interfacial EnergyLeading

نویسنده

  • Pierluigi Colli
چکیده

In this paper we study an initial{boundary value Stefan{type problem with phase relaxation where the heat ux is proportional to the gradient of the inverse absolute temperature. This problem arises naturally as limiting case of the Penrose{Fife model for diiusive phase transitions with non{conserved order parameter if the coeecient of the interfacial energy is taken as zero. It is shown that the relaxed Stefan problem admits a weak solution which is obtained as limit of solutions to the Penrose{Fife phase{{eld equations. For a special boundary condition involving the heat exchange with the surrounding medium, also uniqueness of the solution is proved.

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تاریخ انتشار 1995