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The Global Attractor of a Damped, Forced Hirota Equation in $H^1$

  Published:2009-12-04
 Printed: Jun 2010
  • Boling Guo
  • Zhaohui Huo
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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 global attractor, Fourier restriction norm, damping system, asymptotic compactness
MSC Classifications: 35Q53, 35B40, 35B41, 37L30 show english descriptions KdV-like equations (Korteweg-de Vries) [See also 37K10]
Asymptotic behavior of solutions
Attractors
Attractors and their dimensions, Lyapunov exponents
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10]
35B40 - Asymptotic behavior of solutions
35B41 - Attractors
37L30 - Attractors and their dimensions, Lyapunov exponents
 

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