M.A. Astaburuaga, C. Fernandez, E. Bisognin, & V. Bisognin
Abstract:
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.
Submitted April 20, 1998. Published October 13, 1998.
Math Subject Classification: 35B40.
Key Words: Periodic solution, global attractor, dimension of attractor.
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| M.A. Astaburuaga \& C. Fernandez Facultad de Matematica, Pontificia Universidad Catolica de Chile Av. Vicuna Mackenna 4860, Casilla 306, Santiago, Chile. |
| E. Bisognin (evbisog@zaz.com.br) & V. Bisognin Departamento de Ciencias Exatas, Faculdades Franciscanas Rua dos Andradas 1614, 97010-032, Santa Maria - RS, Brasil. |
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