Attractors for the generalized Benjamin-Bona-Mahony equation

被引：48

作者：

Çelebi, AO ^{[1
]}

Kalantarov, VK

Polat, M

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] Univ Hacettepe, Dept Math, TR-05532 Ankara, Turkey

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 157卷 / 02期

关键词：

attractor; exponential attractor; fractal dimension;

D O I：

10.1006/jdeq.1999.3634

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the periodic initial-boundary value problem for a multidimensional generalized Benjamin-Bona-Mahony equation. We show the existence of the global attractor with a finite Fractal dimension and the existence of the exponential attractor for the corresponding semigroup. (C) 1999 Academic Press.

引用

页码：439 / 451

页数：13

共 18 条

[1] ON THE DECAY OF SOLUTIONS OF THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION [J].

ALBERT, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (02) :527-537

[2] DECAY OF SOLUTIONS OF SOME NONLINEAR-WAVE EQUATIONS [J].

AMICK, CJ ;

BONA, JL ;

SCHONBEK, ME .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (01) :1-49

[3]

Babin A., 1995, Journal of Dynamics and Differential Equations, V7, P567, DOI 10.1007/BF02218725

[4]

Babin A.V., 1992, ATTRACTORS EVOLUTION

[5] MODEL EQUATIONS FOR LONG WAVES IN NONLINEAR DISPERSIVE SYSTEMS [J].

BENJAMIN, TB ;

BONA, JL ;

MAHONY, JJ .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 272 (1220) :47-+

[6] AN INITIAL-VALUE AND BOUNDARY-VALUE PROBLEM FOR A MODEL EQUATION FOR PROPAGATION OF LONG WAVES [J].

BONA, JL ;

DOUGALIS, VA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) :503-522

[7]

EDEN A, 1994, RAM, V37

[8]

GHIDAGLIA JM, 1988, ANN I H POINCARE-AN, V5, P365

[9]

HALE JK, 1988, AM MATH SOC MATH SUR, V25

[10]

Kalantarov V.K., 1986, ZAP NAUCHN SEM LENIN, V152, P50

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