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.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Texas State University
1998-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/25/abstr.html |
| _version_ | 1819038182452232192 |
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| author | M.A. Astaburuaga E. Bisognin V. Bisognin C. Fernandez |
| author_facet | M.A. Astaburuaga E. Bisognin V. Bisognin C. Fernandez |
| author_sort | M.A. Astaburuaga |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T08:33:15Z |
| format | Article |
| id | doaj.art-98f1dd3e98dc4f919bbfd30d2d0a70a2 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-21T08:33:15Z |
| publishDate | 1998-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-98f1dd3e98dc4f919bbfd30d2d0a70a22022-12-21T19:10:09ZengTexas 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. |
| 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. |
| title | 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_short | 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 |
| 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 |