Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation

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dc.creatorDuan, Jinqiao
dc.creatorErvin, Vincent
dc.creatorGao, Hongjun
dc.date1998-06-08
dc.date.accessioned2026-07-07T05:24:57Z
dc.date.available2026-07-07T05:24:57Z
dc.descriptionThe nonlocal Kuramoto-Sivashinsky equation arises in the modeling of the flow of a thin film of viscous liquid falling down an inclined plane, subject to an applied electric field. In this paper, the authors show that, as the coefficient of the nonlocal integral term goes to zero, the solution trajectories and the maximal attractor of the nonlocal Kuramoto-Sivashinsky equation converge to those of the usual Kuramoto-Sivashinsky equation.
dc.descriptionLatex file. To appear: Communications on applied nonlinear analysis, Vol. 5, No. 4, 1998
dc.identifierhttps://arxiv.org/abs/math/9806034
dc.identifierhttp://arxiv.org/abs/math/9806034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77009
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject58F39
dc.titleTrajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation
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