Explicit construction of attracting integral manifolds for a dissipative hyperbolic equation

被引：0

作者：

Goritsky A.Yu. ^{[1
]}

机构：

[1] Faculty of Mechanics and Mathematics, Moscow State University

来源：

Journal of Mathematical Sciences | 2007年 / 143卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Manifold; Hyperbolic Equation; Invariant Manifold; Global Attractor; Integral Curve;

D O I：

10.1007/s10958-007-0207-1

中图分类号：

学科分类号：

摘要：

A dissipative sine-Gordon-type equation in a bounded domain is considered. A simple explicit construction of finite-dimensional integral manifolds with exponential tracking is proposed. © Springer Science+Business Media, Inc. 2007.

引用

页码：3239 / 3252

页数：13

共 26 条

[1]

Henry D., Geometric Theory of Semilinear Parabolic Equations, (1981)

[2]

Hale J.K., Asymptotic Behavior of Dissipative Systems, (1988)

[3]

Haraux A., Systèmes Dynamiques Dissipatifs et Applications, (1991)

[4]

Temarn R., Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Ser, 68

[5]

Babin A.V., Vishik M.I., Attractors of Evolution Equations, (1992)

[6]

Chepyzhov V.V., Vishik M.I., Attractors for Equations of Mathematical Physics, (2002)

[7]

Constantine P., Foias C., Nicolaenko B., Temam R., Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, 70

[8]

Chueshov I.D., Introduction to the Theory of Infinite-Dimensional Dissipative Systems, Acta Scientific, (2002)

[9]

Foias C., Sell G.R., Temam R., Inertial manifolds for nonlinear evolutionary equations, J. Different. Equations, 73, 2, pp. 309-353, (1988)

[10]

Foias C., Manley O., Temam R., Modeling of the interaction of small and large eddies in two-dimensional turbulent flows, Math. Mod. Num. Anal, 22, pp. 93-114, (1988)

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