Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM


Spectral stability and spatial dynamics in partial differential equations

Margaret Beck

Boston University
 

Brandeis University

Thursday, September 24, 2020

Talk at 4:30 p.m. online (only by invitation)


 

Abstract: Understanding the spectral stability of solutions to partial differential equations is an important step in predicting long-time dynamics. Recently, it has been shown that a topological invariant known as the Maslov Index can play an important role in determining spectral stability for systems that have a symplectic structure. Moreover, this perspective has lead to a framework for developing a spatial dynamics in multiple spatial dimensions. In this talk, the notions of spectral stability, the Maslov Index, and multidimensional spatial dynamics will be introduced and an overview of recent results will be given.



Home Web page: Alexandru I. Suciu Posted: September 2, 2020
Comments to: t.zhou@northeastern.edu