非线性应变波耦合组的吸引子的正则性

高平;戴正德

数学学报 ›› 2003, Vol. 46 ›› Issue (1) : 75-84.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2003, Vol. 46 ›› Issue (1) : 75-84. DOI: 10.12386/A2003sxxb0011
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非线性应变波耦合组的吸引子的正则性

    高平;戴正德
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Regularity of the Attractor for the Nonlinear Strain Wave Equation Coupled with Nonlinear Schrodinger Equation

    Ping GAO(1),Zheng De DAI(2)
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摘要

本文研究了非线性应变波方程与Schr(?)dinger方程耦合系统Cauchy问题吸引 子的正则性.获得了该系统在空间Eo中存在整体吸引子Ao,并且Ao与E1中的强吸 引子A1相等.

Abstract

In this article, we study the reqularity of the attractor in Cauchy problem for a system of nonlinear strain wave equation coupled with nonlinear Schrodinger equation. Existence of the global attractor A0 in E0 and A0 is actally equal to the global strong attractor A1 in E1 are obtained by a new operator decomposition technique.

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非线性应变波耦合组 / 算子分解 / 整体吸引子 / 正则性

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高平;戴正德. 非线性应变波耦合组的吸引子的正则性. 数学学报, 2003, 46(1): 75-84 https://doi.org/10.12386/A2003sxxb0011
Ping GAO(1),Zheng De DAI(2). Regularity of the Attractor for the Nonlinear Strain Wave Equation Coupled with Nonlinear Schrodinger Equation. Acta Mathematica Sinica, Chinese Series, 2003, 46(1): 75-84 https://doi.org/10.12386/A2003sxxb0011

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