Nonlinear Dynamics at the Free University Berlin

Sommer 2009

Forschungsseminar Dynamische Systeme

(Seminar für Diplomanden und Doktoranden)

(Internes Seminar der Arbeitsgruppe Nichtlineare Dynamik)

Prof. Dr. Bernold Fiedler

Juliette Hell, Dr. Stefan Liebscher


Apr 16, 2009 Gao-Feng Zheng Partial regularity of borderline solutions to some semilinear parabolic problems
Apr 23, 2009 Apostolos Damialis Correlations and self-similarity in particle systems interacting via diffusion
Apr 30, 2009 Alan Rendall Introduction to the Gowdy equations
May 07, 2009 Dimitar Kroushkov. Anisotrope Sobolevräume und Wellengleichungen
May 14, 2009 Nicolas Roy Anosov maps, Anisotropic Sobolev spaces and escape functions
Frederic Faure, Nicolas Roy, Johannes Sjoestrand: Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances
May 28, 2009 Juliette Hell Blow up and Conley index at infinity
June 04, 2009 Eyal Ron Dynamical Systems Approach to Uniqueness Problems
The lecture presents a dynamical systems approach for handling uniqueness problems in nonautonomous planar systems. The method is shown while being applied to a problem of uniqueness of a ground state of the continuum limit of a strictly anharmonic multi-dimensional lattice. Although this problem, and even a more general version of it, was already solved by Pucci and Serrin, we believe that our method sheds a new light on it.
Our solution to the uniqueness problem has two parts it. In the first one we deal with the region u>0 and give a uniqueness result for it. The second part presents a local result, i.e. that is independent of the initial condition, when analyzing what happens near the origin. In addition we discuss Pucci and Serrin's solution to the problem, and presents it while using some concepts and results from the dynamical systems approach.
June 11, 2009 Ehrenkolloquium, Klaus Schneider, 70. Geburtstag
June 18, 2009 Brian Smith The Parabolic Scalar Curvature Equation
June 25, 2009 Özgür Kesim The Kasner Siblings in Bianchi-Cosmologies
Given the - now infamous - 5-dim. ODE for the Bianchi-cosmologies we exploit the equivariance of the equation and the geometry of the phase-space to derive a geometrically scaled version of the original equation which allows us to give a detailed description of the phase-portrait of a four-dimensional neighborhood of the Kasner-circle and uncovers a new - and maybe main - character in the Bianchi-Opera: a sibling of the Kasner-Map in the N-space.
July 02, 2009 Stefan Liebscher Lipschitz manifolds of the Kasner map
July 09, 2009 Nitsan Ben-Gal Asymptotics of Grow-Up Solutions and the Connection Problem for Slowly Non-Dissipative Parabolic PDEs
July 16, 2009 Johannes Buchner, Eyal Ron Conference report

Time and Place

Talks usually take place on Thursday at 2:15 p.m.
at the Free University Berlin
Room 140, Arnimallee 7, 14195 Berlin.

Guests are always welcome !


switch Last change: Jul. 20, 2009
This page strictly conforms to the XHTMLswitch1.0 standard and uses style sheets. Valid XHTML 1.0! Valid CSS!