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.

Downloads

Published

2002-02-02

Abstract View

  • 40246

Pdf View

  • 3520

Issue

Vol. 15 No. 1 (2002)

Section

Articles

How to Cite

Long Time Behavior of the Dissipative Generalized Symmetric Regularized Long Wave Equations. (2002). Journal of Partial Differential Equations, 15(1), 35-45. https://global-sci.com/index.php/jpde/article/view/3987