Long Time Behavior of the Dissipative Generalized Symmetric Regularized Long Wave Equations
Authors
Yadong Shang , Boling Guo & Shaomei Fang
Keywords:
Symmetric regularized long wave equation;dissipative term;periodic initial value problem;global attractors;Hausdorff dimension;fractal dimension
Abstract
This paper deals with the long time behavior of solutions for the dissipative generalized symmetric regularized long wave equations. We show the existence of global weak attractors for the periodic initial value problem of the equations in H¹ × L². The finite dimensionality of the global attractors is also established.
