物理学报2012,Vol.61Issue(11):117-121,5.
非线性热弹耦合Sine-Gordon型系统的整体吸引子
The global attractor of nonlinear thermoelastic coupled Sine-Gordon system
摘要
Abstract
The dynamical behavior of a class of coupled system to the Sine-Gordon equations with the Peierls-Nabarro force is considered in this paper.First,the existence of the continuous solution is shown in the semi-group approach,under the certain initial-boundary value condition.Then,using the decomposing technique of semi-group,we construct the compact positively invariant sets,and the global attractor is proved.关键词
非线性热效应/Sine-Gordon型系统/整体吸引子Key words
nonlinear thermal effect/Sine-Gordon equation/global attractor分类
数理科学引用本文复制引用
张建文,任永华,吴润衡,冯涛..非线性热弹耦合Sine-Gordon型系统的整体吸引子[J].物理学报,2012,61(11):117-121,5.基金项目
国家自然科学基金 ()
山西省自然科学基金 ()
山西省青年科技研究基金(批准号:2011021002-2)资助的课题 ()