The research of blow-up in 2D weakly damped forced KdV equation on thin domain

DOI10.1007/BF02458987zbMath0968.35103MaRDI QIDQ1841487

Lixin Tian, Yurong Liu, Zeng-Rong Liu

Publication date: 28 February 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

thin domainsweakly damped forced KdV equationtime estimate of the blow-up

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Local attractors for weakly damped forced KdV equation in thin 2D domains

Cites Work

• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Inertial forms of Navier-Stokes equations on the sphere
• A note on the strong convergence towards attractors of damped forced KdV equations
• The research of longtime dynamic behavior in weakly damped forced KdV equation
• A new method of studying the dynamical behaviour of the sine-Gordon equation
• Pulse Dynamics in an Unstable Medium

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