Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 745-757.

• Articles • Previous Articles     Next Articles

The Global Attractors for the Periodic Initial Value Problem for Dissipative Generalized Symmetric Regularized Long Wave Equations

 SHANG Ya-Dong, GUO Bo-Ling   

  1. 广州大学数学系 广州 510405   北京应用物理与计算数学研究所非线性研究中心 北京 100088
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金(10271034)资助项目

Abstract:

The long time behavior of solutions of the generalized  symmetric regularized long wave equations with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are obtained by means of uniform a priori estimates for time.

Key words: Symmetric regularized long wave equation;Periodic initial value problem;Global attractors;Hausdorff dimension;Fractal dimension

CLC Number: 

  • 35B40
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