| Autor: |
H. A. Biagioni, J. L. Bona, R. J. Iório, M. Scialom |
| Jazyk: |
angličtina |
| Rok vydání: |
1996 |
| Předmět: |
|
| Zdroj: |
Adv. Differential Equations 1, no. 1 (1996), 1-20 |
| Popis: |
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 initial-value 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 Ercolanet 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. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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