This paper deals with the analysis of a model proposed by M. Frémond in order to describe some irreversible phase transition phenomena resulting as macroscopic effects of the microscopic movements of molecules. This model consists in a nonlinear system of partial differential equations of parabolic type and several simplifications have been studied recently. Nevertheless, up to now the question of the existence of a solution to the full problem was still open. This paper answers affirmatively to this question in the one-dimensional setting by exploiting a regularization—a priori estimates—passage to the limit procedure.
Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions
SCHIMPERNA, GIULIO FERNANDO;STEFANELLI, ULISSE MARIA
2002-01-01
Abstract
This paper deals with the analysis of a model proposed by M. Frémond in order to describe some irreversible phase transition phenomena resulting as macroscopic effects of the microscopic movements of molecules. This model consists in a nonlinear system of partial differential equations of parabolic type and several simplifications have been studied recently. Nevertheless, up to now the question of the existence of a solution to the full problem was still open. This paper answers affirmatively to this question in the one-dimensional setting by exploiting a regularization—a priori estimates—passage to the limit procedure.File in questo prodotto:
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