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|Type:||Artigo de periódico|
|Title:||On The Korteweg-de Vries-kuramoto-sivashinsky Equation|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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