Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation

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dc.creatorDuan, Jinqiao
dc.creatorErvin, Vincent
dc.date1998-06-08
dc.date.accessioned2026-07-07T05:24:57Z
dc.date.available2026-07-07T05:24:57Z
dc.descriptionIn this paper we study the effects of a ``nonlocal'' term on the global dynamics of the Kuramoto-Sivashinsky equation. We show that the equation possesses a ``family of maximal attractors'' parameterized by the mean value of the initial data. The dimension of the attractor is estimated as a function of the coefficient of the nonlocal term and the width of the periodic domain.
dc.descriptionLatex file
dc.identifierhttps://arxiv.org/abs/math/9806033
dc.identifierhttp://arxiv.org/abs/math/9806033
dc.identifierVol 143 (1998), 243-266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77008
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject58F39
dc.titleDynamics of a Nonlocal Kuramoto-Sivashinsky Equation
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