|Date:||Thu, May 6, 2021|
|Place:||online via zoom (please write the organizer (s.petrat AT jacobs-university.de) for the meeting id and passcode)|
Abstract: In this talk, I will discuss the shock formation process for the 3d compressible Euler equations, in which sounds waves interact with entropy waves to produce vorticity. Smooth solutions form a generic stable shock with explicitly computable blowup time, location, and direction. Our method establishes the asymptotic stability of a generic shock profile in modulated self-similar variables, controlling the interaction of three distinct wave families.
This is based on joint work with T. Buckmaster and S. Shkoller.