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Pré-Publication, Document De Travail Année : 2004

The Korteweg de Vries Kawahara equation in a boundary domain and numerical results.

Résumé

We are concerned with the initial-boundary problem associated to the Korteweg de Vries Kawahara perturbed by a dispersive term which appears in several fluids dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple finite different scheme for the problem and prove its unconditional stability. Finally we give some numerical examples.
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Dates et versions

hal-00003002 , version 1 (05-10-2004)
hal-00003002 , version 2 (05-04-2007)

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  • HAL Id : hal-00003002 , version 1

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Juan Carlos Ceballos, Mauricio Sepulveda, Octavio Vera. The Korteweg de Vries Kawahara equation in a boundary domain and numerical results.. 2004. ⟨hal-00003002v1⟩
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