Continuity of the temperature in a multi-phase transition problem

Ugo Gianazza; Naian Liao

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arXiv · 2109.04435

Continuity of the temperature in a multi-phase transition problem

Ugo Gianazza·Naian Liao

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Abstract

Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the $p$-Laplacian type diffusion is also considered.

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Ugo Gianazza, Naian Liao. 2021-09-09. Continuity of the temperature in a multi-phase transition problem. https://arxiv.org/abs/2109.04435

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