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Margaret Beck: Understanding metastability using invariant manifolds

Margaret Beck, Boston University

Time: Wed 2010-03-03 16.00

Location: Room 3721, Department of mathematics, KTH, Lindstedtsvägen 25, 7th floor

Metastability refers to transient dynamics that persist for long times. More precisely, suppose a PDE has a globally attracting state, meaning that, for any initial condition, the solution will asymptotically approach that state. It can happen that, on its way to the state, the solution spends a long period of time near another, possibly unstable, state. This happens, for example, in the Navier-Stokes equation in two spatial dimensions and Burgers equation in one spatial dimension, both with small viscosity. I will explain how, in the context of Burgers equation, this behavior can be understood using certain global invariant manifolds in the phase space of the PDE.

Coffee is served in the lunch room at 15.30.

Colloquia 2010

Title Date
Torsten Ekedahl: The Sato-Tate conjecture Nov 03, 2010
Jesper Grodal: Finite loop spaces Nov 10, 2010
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory Oct 13, 2010
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations Sep 29, 2010
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations Sep 22, 2010
Idun Reiten: Cluster categories and cluster algebras Sep 01, 2010
Stefano Demichelis: Use and misuse of mathematics in economic theory May 26, 2010
Gregory G. Smith: Old and new perspectives on Hilbert functions Apr 14, 2010
Tony Geramita: Sums of Squares: Evolution of an Idea. Mar 31, 2010
Jens Hoppe: Non-commutative curvature and classical geometry Mar 24, 2010
Margaret Beck: Understanding metastability using invariant manifolds Mar 03, 2010
Jan-Erik Björk: Glimpses from work by Carleman Feb 10, 2010