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

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.

Keywords

• Periodic solution
• global attractor
• dimension of attractor.