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The Global Attractor of a Damped, Forced Hirota Equation in $H^1$ |
Canad. Math. Bull. 53(2010), 295-311
Published:2009-12-04
Printed: Jun 2010
Printed: Jun 2010
- Boling Guo
- Zhaohui Huo
Abstract
The existence of the global attractor of a damped
forced Hirota equation in the phase space $H^1(\mathbb R)$ is proved. The
main idea is to establish the so-called asymptotic compactness
property of the solution operator by energy equation approach.
| Keywords: | global attractor, Fourier restriction norm, damping system, asymptotic compactness |
| MSC Classifications: |
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10] 35B40 - Asymptotic behavior of solutions 35B41 - Attractors 37L30 - Attractors and their dimensions, Lyapunov exponents |