Neumann边界条件下强阻尼波动方程的一维全局吸引子  

One-Dimensional Global Attractor for Strongly Damped Wave Equations with Neumann Boundary Condition

作　　者：李红艳[1] 周盛凡[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《数学学报（中文版）》2006年第6期1381-1386,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10471086)

摘　　要：本文主要考虑齐次Neumann边界条件下强阻尼波动方程的全局吸引子的存在性．利用渐近时间周期微分方程的极限集的性质,证明了在一定的参数范围内,齐次Neumann边界条件下强阻尼波动方程存在一维全局吸引子,是一条水平曲线．In this paper, we consider the existence of global attractor of strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic time-periodic differential equations, we prove that in a certain parameter region, the system has a one-dimensional global attractor, which is a horizontal curve.

关 键 词：强阻尼波动方程 全局吸引子 水平曲线 

分 类 号：O175.2[理学—数学]