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Seminar

Water waves and other interface problems (Part 1): A non-linear PDE approach to hyperbolic dynamics March 30, 2021 (08:00 AM PDT - 09:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Thibault de Poyferré de Cère (MSRI - Mathematical Sciences Research Institute)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

Video

A Non-Linear PDE Approach to Hyperbolic Dynamics

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract:

Questions about the behavior of hyperbolic dynamical systems have typically been tackled through geometric methods, but they can often be reframed as questions on PDEs. We show that the study of the regularity of Anosov foliations leads to a non-linear Ricatti equation, which can be studied through microlocal and paradifferential methods. This is joint work with Colin Guillarmou.

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A Non-Linear PDE Approach to Hyperbolic Dynamics