Strong solutions to the Stefan problem with Gibbs-Thomson correction and boundary contact

Abstract

We prove existence and uniqueness of strong solutions to the two-phase Stefan problem with Gibbs-Thomson law where the free interface forms a ninety degree contact angle with the fixed boundary. We also discuss existence of global solutions and convergence to equilibria.

References in corpus (1)

• On the trace problem for Triebel--Lizorkin spaces with mixed norms

Cited by in corpus (1)

• Well-Posedness and Qualitative Behaviour of a Two-phase Navier-Stokes/Mullins-Sekerka system with boundary contact