We consider a model for phase transitions, in one space dimension. In a recent paper, [5], the author and M. Sable-Tougeron have studied sonic phase boundaries for this model, by taking into account a kinetic relation. We prove here that both in the piecewise linear case and in a cubic case the assumptions that were made in [5] hold if the kinetic relation is provided by a visco-capillarity approach.
The visco-capillarity kinetic condition for sonic phase transitions
CORLI, Andrea
2000
Abstract
We consider a model for phase transitions, in one space dimension. In a recent paper, [5], the author and M. Sable-Tougeron have studied sonic phase boundaries for this model, by taking into account a kinetic relation. We prove here that both in the piecewise linear case and in a cubic case the assumptions that were made in [5] hold if the kinetic relation is provided by a visco-capillarity approach.File in questo prodotto:
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