Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Guido Schneider
Universität Stuttgart
 
spricht am
 
Donnerstag, 27. Oktober 2022
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Validity of the Derivative NLS approximation«

Abstract:
The (generalized) Derivative Nonlinear Schrödinger (DNLS) equation can be derived as an envelope equation via multiple scaling perturbation analysis from dispersive wave systems. It occurs when the cubic coefficient for the associated NLS equation vanishes for the spa- tial wave number of the underlying slowly modulated wave packet. It is the purpose of this talk to explain that the DNLS equation makes correct predictions about the dynamics of a Klein-Gordon model with a cubic nonlinearity. We present two proofs for this fact. The first one is based on energy estimates and normal form transformations. The second proof is based on the use of modulational Gevrey spaces. New difficulties occur due to a total resonance and due to a second order resonance. This is joint work with Max Hess.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Dirk Blömker
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


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