Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials

https://doi.org/10.1016/j.jmaa.2008.01.077Get rights and content
Under an Elsevier user license
open archive

Abstract

Our aim in this article is to prove the global (in time) existence of solutions to a Caginalp phase-field system with dynamic boundary conditions and a singular potential. The main difficulty is to prove that the solutions are strictly separated from the singular values of the potential. This is achieved by studying an auxiliary elliptic problem.

Keywords

Caginalp system
Dynamic boundary conditions
Singular potentials
Existence of solutions

Cited by (0)