Sydney Dynamics Group Seminar: Prof. Peter Szmolyan, Technische Universitat Wien -- Sydney Dynamics group Seminar

Seminar : Sydney Dynamics group Seminar 
Day/time : Thursday, April 2 at 4:00 PM,
Location : SMRI seminar room (A12 Macleay Room 301) 
Speaker : Prof.  Peter Szmolyan, Technische Universitat Wien 

Title: Geometric singular perturbation analysis of turning point problems.  

Abstract : Turning point problems for systems of linear differential equations 

$\varepsilon \dot{x} = A (t,\varepsilon) x$ 

with $t \in \mathbb{R}$ or $t \in \mathbb{C}$ depending singularly on a small parameter
$\varepsilon$ are classical difficult problems in asymptotic analysis.  Loosely speaking
turning points may be characterized as points t0 at which approximations by natural
asymptotic expansions break down.  A famous example is the analysis of the eigenvalue
problem for the one-dimensional Schrodinger equation based on WKB-methods.  In this talk
we outline a novel approach to such problems based on geometric singular perturbation
theory and the blow-up method.