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




The Korteweg de Vries Kawahara equation in a boundary domain and numerical results. - Download this document for free, or read online. Document in PDF available to download.

1 Departamento de Matematicas 2 CI²MA - Centro de Investigación en Ingeniería Matemática Concepción

Abstract : 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.

Keywords : Evolution equations gain in regularity weighted Sobolev space numerical methods





Author: Juan Ceballos - Mauricio Sepulveda - Octavio Vera -

Source: https://hal.archives-ouvertes.fr/



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