Attractors of weakly damped forced KdV equations with external periodic excitation

DOI10.1007/S11741-000-0060-7zbMath0973.35166OpenAlexW2062170600MaRDI QIDQ2706649

Yongai Zheng, Yurong Liu, Zeng-Rong Liu

Publication date: 9 December 2001

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-000-0060-7

zbMATH Keywords

external periodic excitationdiscrete semigroupKdV equationsexistence of attractors

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Cites Work

• Unnamed Item
• Attractors for damped nonlinear hyperbolic equations
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Infinite-dimensional dynamical systems in mechanics and physics
• A note on the strong convergence towards attractors of damped forced KdV equations
• The initial-value problem for the Korteweg-de Vries equation

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