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Existence and Boundary Regularity for Degenerate Phase Transitions by Baroni, Paolo; Kuusi, Tuomo; Lindfors, Casimir; Urbano, José Miguel is a scholarly article available to read on EtoBox.

What is Existence and Boundary Regularity for Degenerate Phase Transitions about?

We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution.

Author

Baroni, Paolo; Kuusi, Tuomo; Lindfors, Casimir; Urbano, José Miguel

Published

2017

Language

EN