非自治吊桥方程的拉回吸引子

Existence of pullback attractors for non autonomous suspension bridge equations

作者：雍鸿雄(西北师范大学数学与统计学院)；马巧珍(西北师范大学数学与统计学院)；常亚亚(西北师范大学数学与统计学院)

Author：YONG Hong-Xiong(College of Mathematics and Statistics, Northwest Normal University)；MA Qiao-Zhen(College of Mathematics, Sichuan University)；CHANG Ya-Ya(College of Mathematics and Statistics, Northwest Normal University)

收稿日期：2013-03-24 年卷（期）页码：2015,52(2):255-261

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：非自治吊桥方程; 拉回吸引子; 拉回 D 条件

Key words：Non autonomous suspension bridge equation; Pullback attractor; Pullback D Condition

基金项目：国家自然科学基金(11101334,11361053); 甘肃省自然科学基金(1107RJZA223); 甘肃高校基本科研业务费.

中文摘要

证明了非自治吊桥方程当非线性项 g〖JB((〗u,t〖JB))〗 和外力项 f〖JB((〗x,t〖JB))〗 都与时间 t有关且 g〖JB((〗u,t〖JB))〗 平移有界时解的渐近性行为, 并由此获得了方程在 H2〖JB((〗0,L〖JB))〗∩H10〖JB((〗0,L〖JB))〗×L2〖JB((〗0,L〖JB))〗 中的拉回 D 吸引子的存在性.

英文摘要

We prove the asymptotic compactness of process for the non autonomous suspension bridge equations with a nonlinearity g〖JB((〗u,t〖JB))〗 and a forcing term f〖JB((〗x,t〖JB))〗, and g〖JB((〗u,t〖JB))〗 is translation bounded. Furthermore, we obtain the pullback D attractor in H2〖JB((〗0,L〖JB))〗∩H10〖JB((〗0,L〖JB))〗×L2〖JB((〗0,L〖JB))〗

【关闭】

论文摘要

非自治吊桥方程的拉回吸引子

Existence of pullback attractors for non autonomous suspension bridge equations