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From the Klein-Gordon-Zakharov system to the Klein-Gordon equation

Daub, Markus; Schneider, Guido; Schratz, Katharina

Abstract:
In a singular limit the Klein-Gordon (KG) equation can be derived from the Klein-Gordon-Zakharov (KGZ) system. We point out that for the original system posed on a d-dimensional torus the solutions of the KG equation do not approximate the solutions of the KGZ system. The KG system has to be modified to make correct predictions about the dynamics of the KGZ system. We explain that this modification is not necessary for the approximation result for the whole space Rd with d _ 3.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000052586
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-525860
KITopen ID: 1000052586
Verlag KIT, Karlsruhe
Umfang 21 S.
Serie CRC 1173 ; 2016/5
Schlagworte singular limit, approximation, wave equations
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