The attractor for the two-dimensional weakly damped KdV equation in belt field
Autor: | Lixin Tian, Ruihua Tian |
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Rok vydání: | 2008 |
Předmět: |
Field (physics)
Applied Mathematics Orthographic projection Mathematical analysis Mathematics::Analysis of PDEs General Engineering General Medicine Computational Mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Bounded function Attractor Energy equation Korteweg–de Vries equation General Economics Econometrics and Finance Analysis Mathematics |
Zdroj: | Nonlinear Analysis: Real World Applications. 9:912-919 |
ISSN: | 1468-1218 |
Popis: | This paper aims at presenting a proof of the existence of the attractor for the two-dimensional weakly damped KdV equations in belt field. By using the Bourgain spaces and the orthogonal projection, we prove the existence of the attractor for the reduced equation which is obtained from the two-dimensional weakly damped KdV equation in belt field. By using the time estimate of the blow-up of the KdV equation, we get the compact and bounded aborting set and prove the existence of the attractor for the two-dimensional weakly damped KdV equation in belt field. |
Databáze: | OpenAIRE |
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