Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models

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dc.creatorLin, Guoguang
dc.creatorGao, Hongjun
dc.creatorDuan, Jinqiao
dc.creatorErvin, Vincent J.
dc.date1998-06-18
dc.date.accessioned2026-07-07T05:25:06Z
dc.date.available2026-07-07T05:25:06Z
dc.descriptionIn this paper the difference in the asymptotic dynamics between the nonlocal and local two-dimensional Swift-Hohenberg models is investigated. It is shown that the bounds for the dimensions of the global attractors for the nonlocal and local Swift-Hohenberg models differ by an absolute constant, which depends only on the Rayleigh number, and upper and lower bounds of the kernel of the nonlocal nonlinearity. Even when this kernel of the nonlocal operator is a constant function, the dimension bounds of the global attractors still differ by an absolute constant depending on the Rayleigh number.
dc.description13 pages, LaTex file
dc.identifierhttps://arxiv.org/abs/math/9806102
dc.identifierhttp://arxiv.org/abs/math/9806102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77060
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject58F39, 35Q35
dc.titleAsymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models
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