Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, September 16, 2016
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Stability through a geometric lens

Abstract:   Drawing motivation from the theory of dynamical systems, traveling waves can be viewed as fixed points of a flow on an infinite dimensional manifold. As such, the eigenvalue problem associated with linearizing about the traveling wave is often reduced to a boundary value problem of a linear non-autonomous ordinary differential equation on the line. In such problems, one can use the geometry of vector bundles and the Grassmannian to recast the original (temporal) spectral problem as a geometric condition. I plan to talk about a couple of examples of how this technique has been applied, first with some scalar-valued partial differential equations and then, if time permits, with systems.

Files:


Speaker:  Robby Marangell
Institution:  Sydney University

Event Organizer:   Peter Miller    millerpd@umich.edu

 

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