Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term

SHANG Ya-dong; GUO Bo-ling

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SHANG Ya-dong, GUO Bo-ling. Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term[J]. Applied Mathematics and Mechanics, 2005, 26(3): 259-266.

Citation:

SHANG Ya-dong, GUO Bo-ling. Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term[J]. Applied Mathematics and Mechanics, 2005, 26(3): 259-266.

Citation:

SHANG Ya-dong, GUO Bo-ling. Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term[J]. Applied Mathematics and Mechanics, 2005, 26(3): 259-266.

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Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term

SHANG Ya-dong¹,
GUO Bo-ling²

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

Received Date: 2003-09-22
Rev Recd Date: 2004-11-27
Publish Date: 2005-03-15

Abstract

Abstract

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

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References(15)

References

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