Phase-field system with two temperatures and a nonlinear coupling term

AIMS Mathematics

Brice Landry Doumbé Bangola¹ 

关键词: : ;    Caginalp phase-field system;    two temperatures;    well-posedness;    disspativity;    spatialbahavior;    Phragmén-Lindelöf alternative;   

DOI  :  10.3934/Math.2018.2.298

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

The subject of this paper is the qualitative study of a generalization of Caginalp phase-fieldsystem involving two temperatures and a nonlinear coupling. First, we prove the well-posedness ofthe corresponding initial and boundary value problem, and we study the dissipativity properties of thesystem, in terms of bounded absorbing sets. We end by analyzing the spatial behavior of solutions in asemi-infinite cylinder, assuming the existence of such solutions.

【 授权许可】

CC BY