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Start Over Author "BARONI, PAOLO" Publisher society for industrial & applied mathematics
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1. EXISTENCE AND BOUNDARY REGULARITY FOR DEGENERATE PHASE TRANSITIONS.

Author

BARONI, PAOLO, KUUSI, TUOMO, LINDFORS, CASIMIR, and URBANO, JOSÉ MIGUEL

Subjects
*EXISTENCE theorems, *BOUNDARY value problems, *DEGENERATE differential equations, *PHASE transitions, *TWO-phase flow, *CONTINUOUS functions
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2018
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