Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703352 | Applied Mathematical Modelling | 2016 | 16 Pages |
Abstract
This paper is devoted to the study of a Caginalp phase-field system endowed with non-homogeneous Cauchy–Neumann and nonlinear dynamic boundary conditions. We first prove the existence, uniqueness and regularity of solutions to an Allen–Cahn equation. Our approach allows to consider in the dynamic boundary conditions a nonlinearity of higher order than in the known results. The existence, uniqueness and regularity of solutions to the Caginalp system in this new formulation is also proven.
Related Topics
Physical Sciences and Engineering
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Authors
Alain Miranville, Costică Moroşanu,