On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling

AIMS Mathematics

关键词: : ;    Caginalp phase field system;    Cattaneo law;    nonlinear coupling;    well-posedness;    regularity;    spatial behavior;   

DOI  :  10.3934/Math.2016.1.24

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

We focus in this paper on a Caginalp phase-field system based on the Cattaneo law with nonlinear coupling. We start our analysis by establishing existence, uniqueness and regularity based on Moser’s iterations. We finish with the study of the spatial behavior of the solutions in a semi-infinite cylinder, assuming the existence of such solutions.

【 授权许可】

CC BY