非扰动耗散Hamiltonian振幅波方程的整体吸引子

Zheng De DAI, Lin YANG, Jian HUANG

应用数学学报 ›› 2004, Vol. 27 ›› Issue (4) : 577-592.

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中国科学院数学与系统科学研究院期刊网
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应用数学学报 ›› 2004, Vol. 27 ›› Issue (4) : 577-592. DOI: 10.12387/C2004064
论文

非扰动耗散Hamiltonian振幅波方程的整体吸引子

    戴正德(1), 杨林(2),黄健(3)
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ATTRACTOR FOR THE UNPERTURBED DISSIPATIVE HAMILTONIAN AMPLITUDE WAVE

    Zheng De DAI(1),Lin YANG(2),Jian HUANG(3)
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摘要

本文研究了非扰动耗散Hamiltonian振幅波方程的长时间行为.通过算子分解和能量方程,我们分别得到了在E0和E1空间的整体吸引子.

Abstract

The long time behavior of solution for the unperturbed dissipative Hamiltonian amplitude wave equation is studied. By means of operator decomposition and energy equation, the global attractor in phase spaces E0 and E1 are obtained respectively.

关键词

整体吸引子 / 算子分解 / 非扰动系统

Key words

Global attractor / operator decomposition / unperturbed system

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Zheng De DAI, Lin YANG, Jian HUANG. 非扰动耗散Hamiltonian振幅波方程的整体吸引子. 应用数学学报, 2004, 27(4): 577-592 https://doi.org/10.12387/C2004064
Zheng De DAI, Lin YANG, Jian HUANG. ATTRACTOR FOR THE UNPERTURBED DISSIPATIVE HAMILTONIAN AMPLITUDE WAVE. Acta Mathematicae Applicatae Sinica, 2004, 27(4): 577-592 https://doi.org/10.12387/C2004064
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