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Exponential attractor for the generalized symmetric regularized long wave equation with damping term

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Abstract

The global fast dynamics for the generalized symmetric regularized long wave equation with damping term is considered. The squeezing property of the nonlinear semigroup associated with this equation and the existence of exponential attractor are proved. The upper bounds of its fractal dimension are also estimated.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, 510405, Guangzhou, P. R. China

    Shang Ya-dong Professor, Doctor

  2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088, Beijing, P. R. China

    Guo Bo-ling

Authors
  1. Shang Ya-dong Professor, Doctor
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  2. Guo Bo-ling
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Correspondence to Shang Ya-dong Professor, Doctor.

Additional information

Contributed by GUO Bo-ling

Project supported by the National Natural Science Foundation of China (No. 10271034)

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Ya-dong, S., Bo-ling, G. Exponential attractor for the generalized symmetric regularized long wave equation with damping term. Appl Math Mech 26, 283–291 (2005). https://doi.org/10.1007/BF02440077

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  • DOI: https://doi.org/10.1007/BF02440077

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