Global attractor and its dimension estimates for the generalized dissipative KdV equation on \(\mathbb{R}\)

DOI10.1007/BF02677406zbMath0932.37064OpenAlexW1563674629MaRDI QIDQ1302263

V. Pereyra

Publication date: 19 March 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677406

zbMATH Keywords

global attractorHausdorff and fractal dimensiongeneralized KdV equationasymptotical compactness and smoothness

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (1)

Global attractor for the generalized dissipative KdV equation with nonlinearity

Cites Work

• Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Inertial manifolds: The non-self-adjoint case
• Infinite-dimensional dynamical systems in mechanics and physics
• On the (generalized) Korteweg-de Vries equation
• Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation
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