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.
Asymptotic uniform convergence of energy solutions to the Penrose-Fife model
SCHIMPERNA, GIULIO FERNANDO;SEGATTI, ANTONIO GIOVANNI;
2012-01-01
Abstract
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.File in questo prodotto:
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