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arXiv · 1108.1729

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

Giulio Schimperna·Antonio Segatti·Sergey Zelik
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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.

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Giulio Schimperna, Antonio Segatti, Sergey Zelik. 2011-08-08. Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. https://arxiv.org/abs/1108.1729

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