Existence and finite dimensionality of the global attractor for a class of nonlinear dissipative equations

DOI10.1017/S0308210500029565zbMath0790.35062OpenAlexW2322901140MaRDI QIDQ4277239

Eduardo Alarcon

Publication date: 26 June 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029565

zbMATH Keywords

Cauchy problemHausdorff dimensionattractorevolution equationsKorteweg-de Vries equationBenjamin-Ono equationOtt-Sudan equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items

Unnamed Item, Dynamics of a nonlocal Kuramoto-Sivashinsky equation, The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces, The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces, Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line, Long time behavior of solutions for a damped Benjamin-Ono equation

Cites Work

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• On the (generalized) Korteweg-de Vries equation
• On the cauchy problem for the benjamin-ono equation
• The initial-value problem for the Korteweg-de Vries equation