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
Program
Apr 16, 2009 
GaoFeng Zheng 
Partial regularity of borderline solutions to some semilinear parabolic
problems 
Apr 23, 2009 
Apostolos Damialis 
Correlations and selfsimilarity 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: Semiclassical 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 multidimensional 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 BianchiCosmologies 
Given the  now infamous  5dim. ODE for the Bianchicosmologies we
exploit the equivariance of the equation and the geometry of the
phasespace to derive a geometrically scaled version of the original
equation which allows us to give a detailed description of the
phaseportrait of a fourdimensional neighborhood of the Kasnercircle and
uncovers a new  and maybe main  character in the BianchiOpera: a
sibling of the KasnerMap in the Nspace.

July 02, 2009 
Stefan Liebscher 
Lipschitz manifolds of the Kasner map 
July 09, 2009 
Nitsan BenGal 
Asymptotics of GrowUp Solutions and the Connection Problem for Slowly NonDissipative 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 !
Archive
