Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model

Details Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model

2011-08-08

arxiv.org/abs/1108.1729v1

Mathematics

Analysis of PDEs

Scientific paper

We study a Penrose-Fife phase transition model coupled with homogeneous
Neumann boundary conditions. Improving previous results, we show that the
initial value problem for this model admits a unique solution under weak
conditions on the initial data. Moreover, we prove asymptotic regularization
properties of weak solutions.

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