scnews: "Asia-Pacific Analysis and PDE Seminar: Tristan Buckmaster -- Smooth Imploding Solutions for 3D Compressible Fluids" by Miranda Luo

Dear friends and colleagues,

on Monday, 18 July 2022 at
• 09:00 AM for Beijing, Hong Kong and Perth
• 10:00 AM for Seoul and Tokyo
• 11:00 AM for Canberra, Melbourne and Sydney
• 01:00 PM for Auckland

Professor Tristan Buckmaster is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Smooth Imploding Solutions for 3D Compressible Fluids

Abstract:

Building upon the work of Merle-Rodnianski-Szeftel, in joint work with Gonzalo Cao-Labora and Javier Gomez-Serrano, we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents. For the particular exponent 7/5, corresponding to diatomic gasses, akin to the result of Merle-Raphael-Rodnianski-Szeftel, we show the existence of a sequence of smooth, self-similar imploding solutions. In addition, we provide simplified proofs of linear stability and non-linear stability which allows us to construct asymptotically self-similar imploding solutions to the compressible Navier-Stokes equations with density independent viscosity for the adiabatic exponent 7/5 and density bounded from below.

Chair: Ben Andrews (Australian National University)

More information and how to attend this talk can be found at the seminar webpage .

Miranda
On behalf of Daniel H. and Ben

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Webinar Speaker

Tristan Buckmaster

Professor @ University of Maryland, United States

Tristan completed his PhD at the University of Leipzig/Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany in 2014. He spent three years as a Courant Instructor at New York University, and was subsequently appointed an Assistant Professor at Princeton University in 2017. As of this year, Tristan was appointed as a Professor at the University of Maryland. He was awarded the 2019 Clay Research Award for his work regarding non-uniqueness of weak solutions to the Navier-Stokes equation.

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