Unbounded one-dimensional global attractor for the damped sine-Gordon equation

被引：8

作者：

Qian, M ^{[1
]}

Qin, WX ^{[1
]}

Wang, GX ^{[1
]}

Zhu, S ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCE | 2000年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

sine-Gordon equation; global attractor;

D O I：

10.1007/s003329910018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the "damping" and the "diffusing" are not very small.

引用

页码：417 / 432

页数：16

共 16 条

[1]

[Anonymous], 1988, APPL MATH SCI

[2]

Chepyzhov V., 1992, ADV SOV MATH, V10, P85, DOI DOI 10.1090/ADVSOV/010/02

[3] INVARIANT-MANIFOLDS FOR FLOWS IN BANACH-SPACES [J].

CHOW, SN ;

LU, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 74 (02) :285-317

[4]

Hale J. K., 1988, ASYMPTOTIC BEHAV DIS

[5] LARGE DIFFUSIVITY AND ASYMPTOTIC-BEHAVIOR IN PARABOLIC-SYSTEMS [J].

HALE, JK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 118 (02) :455-466

[6]

LEVI M, 1978, Q APPL MATH, V7, P167

[7]

Mallet-Paret J., 1988, J AM MATH SOC, V1, P805, DOI 10.1090/S0894-0347-1988-0943276-7

[8]

MORA X, 1989, RAIRO-MATH MODEL NUM, V23, P489

[9]

Pazy A., 1983, APPL MATH SCI, V44

[10] DYNAMIC BEHAVIOR IN COUPLED SYSTEMS OF J-J TYPE [J].

QIAN, M ;

SHEN, WX ;

ZHANG, JY .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 88 (01) :175-212

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