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The KdV approximation for a system with unstable resonances

Schneider, Guido


The KdV equation can be derived via multiple scaling analysis for the approximate description of long waves in dispersive systems with a conservation law. In this paper we justify this approximation for a system with unstable resonances by proving estimates between the KdV approximation and true solutions of the original system. We expect that the approach will allow to handle more complicated systems without a detailed discussion of the resonances and without finding a suitable energy.

Volltext §
DOI: 10.5445/IR/1000088287
Veröffentlicht am 05.12.2018
Cover der Publikation
Zugehörige Institution(en) am KIT Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000088287
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 21 S.
Serie CRC 1173 ; 2018/42
Projektinformation SFB 1173/1 (DFG, DFG KOORD, SFB 1173/1 2015)
Schlagwörter approximation, long waves, dispersive system, conservation law
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