Home /  Water waves and other interface problems (Part 1): A non-linear PDE approach to hyperbolic dynamics

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: SLMath: Online/Virtual
Speaker(s) Thibault de Poyferré de Cère (University of California, Berkeley)
Description

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

 

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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