PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:Nonlinear stability of time-periodic viscous shocks
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Björn Sandstede, Division of Applied Mathematics, Brown University
Abstract:
Time-periodic viscous Lax shocks are considered in the context of viscous conservation laws. Specifically, I shall present recent results that give nonlinear stability of such solutions under the assumption of spectral stability. It will also be shown that time-periodic Lax shocks can emerge at Hopf bifurcations of Lax shocks and that the resulting time-periodic waves are spectrally stable if the bifurcation is supercritical. The motivation for this work comes from pulsating detonation waves and from sources in reaction-diffusion systems. This is joint work with Margaret Beck and Kevin Zumbrun.

Room Reservation Information

Room Number:MB106
Date:03 / 06 / 2009
Time:03:35pm - 04:25pm