Benjamin-Bona-Mahony方程指数吸引子的存在性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (5): 941-953.

Benjamin-Bona-Mahony方程指数吸引子的存在性

罗旭东(),马巧珍*()

西北师范大学数学与统计学院兰州 730070

收稿日期:2017-02-15 出版日期:2018-11-09 发布日期:2018-11-09
通讯作者: 马巧珍 E-mail:1325434116@qq.com;maqzh@nwnu.edu.cn
作者简介:罗旭东, E-mail: 1325434116@qq.com
基金资助:
国家自然科学基金(11561064);国家自然科学基金(11361053);西北师范大学科研创新团队项目(NWNU-LKQN-14-6)

Exponential Attractors of 3D Benjamin-Bona-Mahony Equations

Xudong Luo(),Qiaozhen Ma*()

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070

Received:2017-02-15 Online:2018-11-09 Published:2018-11-09
Contact: Qiaozhen Ma E-mail:1325434116@qq.com;maqzh@nwnu.edu.cn
Supported by:
the NSFC(11561064);the NSFC(11361053);the Northwest Normal University Research Innovation Team Project(NWNU-LKQN-14-6)

摘要/Abstract

摘要：

该文讨论3维的Benjamin-Bona-Mahony方程在自治和非自治两种情况下指数吸引子的存在性，推广和改进了已有的一些结果.

关键词: Benjamin-Bona-Mahony方程, 加强的平坦性条件, Lipschitz连续, 指数吸引子

Abstract:

In this paper, we investigate the existence of exponential attractors of the three dimensional Benjamin-Bona-Mahony equation in the case that both the autonomous and nonautonomous systems, which extend and improve some previous results.

Key words: Benjamin-Bona-Mahony equation, Enhanced flattening property, Lipschitz continuity, Exponential attractor

中图分类号:

O212.62

罗旭东,马巧珍. Benjamin-Bona-Mahony方程指数吸引子的存在性[J]. 数学物理学报, 2018, 38(5): 941-953.

Xudong Luo,Qiaozhen Ma. Exponential Attractors of 3D Benjamin-Bona-Mahony Equations[J]. Acta mathematica scientia,Series A, 2018, 38(5): 941-953.

参考文献 13

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