Astaburuaga, M.A.; Bisognin, E.; Bisognin, V.; Fernandez, C.

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

Electron. J. Differ. Equ. 1998, Paper No. 25, 14 p. (1998)


Summary: 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.

Mathematics Subject Classification



periodic solution, global attractor, dimension of attractor