Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Wolf-Patrick Düll
Universität Stuttgart
 
spricht am
 
Donnerstag, 3. Mai 2018
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Justification of the Nonlinear Schrödinger approximation for quasilinear dispersive systems«

Abstract:
In order to describe the dynamics of oscillating wave packets in complicated dispersive evolutionary systems, the Nonlinear Schrödinger (NLS) equation can be formally derived as an approximation equation for the dynamics of the envelopes.To understand to which extent this approximation yield correct predictions of the qualitative behavior of the original systems it is important to justify the validity of the NLS approximation by estimates of the approximation errors in the physically relevant length and time scales. If the original systems are quasilinear, the justification of the NLS approximation is a highly nontrivial problem. In this talk, we give an overview on the NLS approximation and its applications, for example, for modeling water waves, light pulses or spin waves, and prove the validity of the NLS approximation for typical examples of quasilinear dispersive systems.

 

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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