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Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation

✍ Scribed by Boling Guo; Guolian Wang


Book ID
107376071
Publisher
Higher Education Press and Springer
Year
2008
Tongue
English
Weight
192 KB
Volume
3
Category
Article
ISSN
1673-3452

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✍ N. Akroune 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 155 KB

We study the long time behaviour of the solutions to a nonlinear Schr6dinger equation, in presence of a damping term, and a forcing term, when the space variable x varies over R. We show that the long time behaviour is described by an attractor which captures all the trajectories in H 1 (R). Our mai