Publicación: THE KORTEWEG-DE VRIES-KAWAHARA EQUATION IN A BOUNDED DOMAIN AND SOME RESULTS.
Fecha
2007
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Editor
APPLIED MATHEMATICS AND COMPUTATION
Resumen
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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Palabras clave
Sobolev space, Numerical methods, Gain in regularity, Evolution equations
