摘要
证明了周期边界条件下弱阻尼KdV方程存在近似惯性流形．该流形使吸引子被确切定义的有限维光滑流形逼近．并由此概念引出新的数值方法很好地用于研究动力系统长期行为．
It is presented that there exists approximate inertial manifolds in weakly damped forced KdV equation with period ic boundary conditions. The approximate inertial manifolds proyide approximant of the attractor by finite dimensional smooth manifolds which are explicitly defined. And the concept leads to new numerical schemes which are well a.dapted to the longtime behavior of dynamical system.
出处
《应用数学和力学》
CSCD
北大核心
1997年第10期953-958,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金
机械工业部科技基金
关键词
近似惯性流形
动力系统
吸引子
阻尼项
KDV方程
approximate inertial manifold, weakly damped forced KdV equation, dynamical system,attractor
