The attractor for the two-dimensional weakly damped KdV equation in belt field

Autor:	Lixin Tian, Ruihua Tian
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::89ce4318ea895fcb402ad7f089712a78 https://doi.org/10.1016/j.nonrwa.2007.01.009 Zobrazit plný text záznamu Full Text from ScienceDirect