The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation
-
摘要: 本文研究弱阻尼KdV方程样条小波基下约化形式的弱解.
-
关键词:
- 弱解 /
- 样条小波基 /
- 弱阻尼KdV方程 /
- 近似惯性流形(AIM) /
- 约化形式
Abstract: In the paper what is studied is the wild solution of the induced from under the spline wavelet basis in weakly damped forced KdV equation. -
[1] O.Goubet,Construction on approximate ineltial manifolds using wavelets,SIAM.J.Math.Anal.,9(1992),1455-1481. [2] 田立新、徐振源,弱阻尼KdV方程中长期动力学行为的研究,应用数学和力学,18,10(1997),1021-1028. [3] 卢殿臣、田立新、刘曾荣,扰动周期KdV方程的小波基分析,应用数学和力学,19,11(1998),1053-1058. [4] J.M.Ghidaglia,Weakly damped forced KdV equation behave as finite dimensional dynamical system in the longtime,J.Differential Equations,74(1988),369-300. [5] A.Debussche and M.Marion,On the constructure of families of approximate inertial manifolds,J.Differential Equations,100(1992),173-201. [6] C.K.Chui,An Introduction to Wavelet,Academic Press Inc.,USA(1992). [7] C.Foias,G.Sell and R.Temann,Inertial manifolds for nonlinear evolutionary equation,J.Differential Equations,73(1988),309-353.
计量
- 文章访问数: 2539
- HTML全文浏览量: 159
- PDF下载量: 757
- 被引次数: 0