Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 25, pp. 1-14.

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

Authors: M.A. Astaburuaga (Univ. Catolica de Chile, Santiago, Chile)
 C. Fernandez (Univ. Catolica de Chile, Santiago, Chile)
 E. Bisognin (Faculdades Franciscanas, Santa Maria, Brasil)
 V. Bisognin (Faculdades Franciscanas, Santa Maria, Brasil) 

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.