The Global Attractor of Thermoelastic Coupled System

• 作者: Danxia Wang Jianwen Zhang
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: The MILD Solution Priori ESTIMATES THERMOELASTIC Coupled Rod Global ATTRACTOR
• 年，卷（期）: 2012,（3）
• 页码范围: 102-106
• 页数: 5页
• 分类号: O1

摘要

In this paper, we consider a class of Sine-Gordon equations which arise from the model of the thermoelastic coupled rod. Firstly, by virtue of the classical semigroup theory, we prove the existence and uniqueness of the mild solution under certain initial-boundary value for above-mentioned equations. Secondly, we obtain the boundedness of solutions by the priori estimates. Lastly, we prove the existence of a global attractor.