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

被引：5

作者：

Bangola, Brice Landry Doumbe ^{[1
]}

机构：

[1] USTM, URMI, BP 943, Franceville, Gabon

来源：

AIMS MATHEMATICS | 2018年 / 3卷 / 02期

关键词：

Caginalp phase-field system; two temperatures; well-posedness; disspativity; spatial bahavior; Phragmen-Lindelof alternative; LONG-TIME BEHAVIOR; DYNAMIC BOUNDARY-CONDITIONS; EXPONENTIAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; CAGINALP SYSTEM; MODEL; CONVERGENCE; THERMOELASTICITY; EXISTENCE; EQUATIONS;

D O I：

10.3934/Math.2018.2.298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：298 / 315

页数：18

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