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The attractor of the dissipative Camassa-Holm equation. (Chinese. English summary) Zbl 1080.35007

Summary: This paper investigates the dynamical behaviors of a new dispersive shallow water wave equation – Camassa-Holm (C-H) equation, studies the existence of global solution of the dissipative C-H equation and gets the existence of the global attractor of the semigroup of the dissipative C-H equation in \(H^2\).

MSC:

35B41 Attractors
35Q53 KdV equations (Korteweg-de Vries equations)
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