Teaching

Type:	Time:	Place:	Start:
SE 2 std.	Thu 11:30-13:00	SR07	4.10

The stability of linear and nonlinear waves has a fascinating history. In this seminar we would like to discuss basic approaches to the problem of stability (spectral, orbital and asymptotic) of solitary waves. Our main aim is to look at a circle of ideas and the mathematical machinery that has been built to investigate the stability problem.

Date:	Title:	Speaker:	References:
11.10	Elements of Functional Analysis 1	Matthias Ostermann	[K-P]
18.10	Elements of Functional Analysis 2	Matthias Ostermann	[K-P]
25.10	The Point Spectrum: Sturm-Liouville Theory	Anthony Coniglio	[K-P]
8.11	The Essential Spectrum: Fronts and Pulses 1	Josef Greilhuber	[K-P]
15.11	The Essential Spectrum: Fronts and Pulses 2	Josef Greilhuber	[K-P]
22.11	The Absolute Spectrum	Amalia Poghosyan	[K-P]
29.11	Linear Dynamics 1	David Wallauch	[K-P]
6.12	Linear Dynamics 2	Willi Kepplinger	[K-P]
13.12	System with Symmetries	Willi Kepplinger	[K-P]
10.1	Nonlinear Dynamics 1	Elsa Novac	[K-P]
24.1	Nonlinear Dynamics 2	Elsa Novac	[K-P]
31.1	Example: Nonlinear Schrödinger-Type Equations	Jakob Möller	[K-P]

References:

1. T. Kapitula and K. Promislow, Spectral and Dynamical Stability of Nonlinear Waves, Springer, New York, 2013.

Preparation and presentation of a chosen topic. Active participation during the seminar.

Majors in Mathematics (master program, code MANS), Physics, ...