Global attractor and finite dimensionality for a class of dissipative equations of BBM's type

Global attractor and finite dimensionality for a class of dissipative equations of BBM's type

In this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions.

Bibliographic Details
Main Authors: M.A. Astaburuaga, E. Bisognin, V. Bisognin, C. Fernandez
Format: Article
Language:English
Published: Texas State University 1998-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Periodic solution
global attractor
dimension of attractor.
Online Access:http://ejde.math.txstate.edu/Volumes/1998/25/abstr.html
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spelling doaj-98f1dd3e98dc4f919bbfd30d2d0a70a22020-11-24T22:48:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-10-01199825114Global attractor and finite dimensionality for a class of dissipative equations of BBM's typeM.A. AstaburuagaE. BisogninV. BisogninC. FernandezIn this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions. http://ejde.math.txstate.edu/Volumes/1998/25/abstr.htmlPeriodic solutionglobal attractordimension of attractor.
collection DOAJ
language English
format Article
sources DOAJ
author M.A. Astaburuaga
E. Bisognin
V. Bisognin
C. Fernandez
spellingShingle M.A. Astaburuaga
E. Bisognin
V. Bisognin
C. Fernandez
Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
Electronic Journal of Differential Equations
Periodic solution
global attractor
dimension of attractor.
author_facet M.A. Astaburuaga
E. Bisognin
V. Bisognin
C. Fernandez
author_sort M.A. Astaburuaga
title Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
title_short Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
title_full Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
title_fullStr Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
title_full_unstemmed Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
title_sort global attractor and finite dimensionality for a class of dissipative equations of bbm's type
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 1998-10-01
description In this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions.
topic Periodic solution
global attractor
dimension of attractor.
url http://ejde.math.txstate.edu/Volumes/1998/25/abstr.html
work_keys_str_mv AT maastaburuaga globalattractorandfinitedimensionalityforaclassofdissipativeequationsofbbmstype
AT ebisognin globalattractorandfinitedimensionalityforaclassofdissipativeequationsofbbmstype
AT vbisognin globalattractorandfinitedimensionalityforaclassofdissipativeequationsofbbmstype
AT cfernandez globalattractorandfinitedimensionalityforaclassofdissipativeequationsofbbmstype
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