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The research of longtime dynamic behavior in weakly damped forced KdV equation

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Abstract

It is presented that there exists approximate inertial manifolds in weakly damped forced KdV equation with periodic boundarý conditions. The approximate inertial manifolds provide approximant of the attractor by finite dimensional smooth manifolds which are explicitly defined. And the concept leads to new numerical schemes which are well adapted to the longtime behavior of dynamical system.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, 212013, Zhenjiang, Peoples Republic of China

    Tian Lixin

  2. Wuxi Light Industry Institute, 214000, Wuxi, Peoples Republic of China

    Xu Zhenyuan

Authors
  1. Tian Lixin
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  2. Xu Zhenyuan
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Additional information

Communicated by Xu Zhengfan

Project partially supported by the National Natural Science Foundation of China and Science-Technology Foundation of Minitry of Machine-Builting Industry of China

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Lixin, T., Zhenyuan, X. The research of longtime dynamic behavior in weakly damped forced KdV equation. Appl Math Mech 18, 1021–1028 (1997). https://doi.org/10.1007/BF00189294

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  • DOI: https://doi.org/10.1007/BF00189294

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