Existence and regularity of the global attractor for a weakly damped forced shallow water equation in \(H^1(\mathbb R)\)

DOI10.1016/j.na.2009.04.056zbMath1176.35158OpenAlexW1988449985MaRDI QIDQ732590

Yongsheng Li, Xingyu Yang

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.056

zbMATH Keywords

shallow water equationglobal attractorbilinear estimatesBourgain spacesasymptotic smoothing effect

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (2)

Attractor for a viscous coupled Camassa-Holm equation ⋮ The global attractor for a weakly damped forced shallow water equation in Sobolev spaces of low regularity

Cites Work

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