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Type: Artigo de periódico
Title: On The Korteweg-de Vries-kuramoto-sivashinsky Equation
Author: Biagioni H.A.
Bona J.L.
Iorio R.J.
Scialom M.
Abstract: Considered herein is the Korteweg-de Vries equation with a Kuramoto- Sivashinsky dissipative term appended. This evolution equation, which arises as a model for a number of interesting physical phenomena, has been extensively investigated in a recent paper of Ercolani, McLaughlin and Roitner. The numerical simulations of the initialvalue problem reported in the just-mentioned study showed solutions to possess a more complex range of behavior than the unadorned Korteweg-de Vries equation. The present work contributes some basic analytical facts relevant to the initial-value problem and to some of the conclusions drawn by Ercolani et al. In addition to showing the initial-value problem is well posed, we determine the limiting behavior of solutions as the dissipative or the dispersive parameter tends to zero.
Rights: fechado
Identifier DOI: 
Date Issue: 1996
Appears in Collections:Unicamp - Artigos e Outros Documentos

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