Seminar 10.12.2010: Peter Szmolyan
Posted: Sun Dec 12, 2010 12:38 pm
Piatok 10.12.2010, 10:40-11:40, F1-326 Friday, December 10, 2010, 10:40-11:40 AM, F1-326
Peter Szmolyan (Technische Universität Wien, Austria)
Spectral stability of viscous shock waves
Abstrakt/Abstract
Results on the stability of viscous shock waves in one and several space dimensions are presented. In the context of Evans function theory a geometric framework is established which allows to show that small amplitude viscous profiles are spectrally stable, i.e. the corresponding linearization along the wave has no eigenvalues λ with Re(λ) ≥ 0, λ ≠ 0. A suitable scaling brings out the slow-fast structure of the problem, which allows a precise description of the behaviour of the stable and unstable spaces in the small amplitude limit by using methods from invariant manifold theory.
Peter Szmolyan (Technische Universität Wien, Austria)
Spectral stability of viscous shock waves
Abstrakt/Abstract
Results on the stability of viscous shock waves in one and several space dimensions are presented. In the context of Evans function theory a geometric framework is established which allows to show that small amplitude viscous profiles are spectrally stable, i.e. the corresponding linearization along the wave has no eigenvalues λ with Re(λ) ≥ 0, λ ≠ 0. A suitable scaling brings out the slow-fast structure of the problem, which allows a precise description of the behaviour of the stable and unstable spaces in the small amplitude limit by using methods from invariant manifold theory.