Limit Set of Trajectories of the Coupled Viscous Burgers' Equations

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dc.creatorDuan, J.
dc.creatorNee, J.
dc.date1996-07-29
dc.date.accessioned2026-07-07T09:07:57Z
dc.date.available2026-07-07T09:07:57Z
dc.descriptionIn this letter, a coupled system of viscous Burgers' equations with zero Dirichlet boundary conditions and appropriate initial data is considered. For the well-known single viscous Burgers' equation with zero Dirichlet boundary conditions, the zero equilibrium is the unique global exponential point attractor. A similar property is shown for the coupled Burgers' equations, i.e., trajectories starting with initial data which is not too large approach the zero equilibrium as time goes to infinity. This ``approaching" or convergence is not necessarily exponentially fast, unlike the single viscous Burgers' equation.
dc.descriptionLaTeX file, 8 pages. For more info, see http://www.math.clemson.edu/faculty/Duan/pub_recent.html
dc.identifierhttps://arxiv.org/abs/chao-dyn/9607016
dc.identifierhttp://arxiv.org/abs/chao-dyn/9607016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150551
dc.subjectChaotic Dynamics
dc.titleLimit Set of Trajectories of the Coupled Viscous Burgers' Equations
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