For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.
| Title: | Nonlinear stability of time-periodic viscous shocks |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Björn Sandstede, Division of Applied Mathematics, Brown University |
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| Abstract: |
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| 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 |
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| Date: | 03 / 06 / 2009 |
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| Time: | 03:35pm - 04:25pm |
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