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Zbl 1181.35027
Tian, Lixin; Gao, Ying
The global attractor of the viscous Fornberg-Whitham equation. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, A, 5176-5186 (2009). ISSN 0362-546X

Summary: This paper aims to present a proof of the existence of the attractor for the one-dimensional viscous Fornberg-Whitham equation. The global existence of a solution to the viscous Fornberg-Whitham equation in $L^{2}$ under periodic boundary conditions is studied. By using the time estimate of the Fornberg-Whitham equation, we get the compact and bounded absorbing set and the existence of the global attractor for the viscous Fornberg-Whitham equation.

MSC 2000:: *35B41 Attractors
35Q53 KdV-like equations

Keywords: global solution; third order dispersive equation; periodic boundary conditions

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