Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time

DOI10.1016/0022-0396(88)90010-1zbMath0668.35084OpenAlexW2053737194MaRDI QIDQ1118106

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90010-1

zbMATH Keywords

damping dispersion nonlinearity energy dissipation Korteweg-de Vries equation finite dimension Gram determinants universal attractor space-periodic solutions external excitation nonlinear group

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Partial differential equations of mathematical physics and other areas of application (35Q99)

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