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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.

Kollokvier 2010

Titel Datum
Torsten Ekedahl: The Sato-Tate conjecture 2010‑11‑03
Jesper Grodal: Finite loop spaces 2010‑11‑10
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory 2010‑10‑13
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations 2010‑09‑29
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations 2010‑09‑22
Idun Reiten: Cluster categories and cluster algebras 2010‑09‑01
Stefano Demichelis: Use and misuse of mathematics in economic theory 2010‑05‑26
Gregory G. Smith: Old and new perspectives on Hilbert functions 2010‑04‑14
Tony Geramita: Sums of Squares: Evolution of an Idea. 2010‑03‑31
Jens Hoppe: Non-commutative curvature and classical geometry 2010‑03‑24
Margaret Beck: Understanding metastability using invariant manifolds 2010‑03‑03
Jan-Erik Björk: Glimpses from work by Carleman 2010‑02‑10