Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838680 | Nonlinear Analysis: Real World Applications | 2008 | 8 Pages |
Abstract
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.
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Authors
Lixin Tian, Ruihua Tian,