Analysis Seminar

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Non-radial implosion for compressible Euler, Navier-Stokes and defocusing NLS in $T^d$ and $R^d$

Speaker: Jia Shi, MIT

Location: Warren Weaver Hall 1302

Date: Thursday, October 17, 2024, 11 a.m.

Synopsis:

We will discuss the smooth, non-radial solutions of the compressible Euler, Navier-Stokes equation and defocusing nonlinear Schrodinger equation that develop an imploding finite time singularity. The construction is motivated by the radial imploding solutions from Merle--Raphael--Rodnianski--Szeftel, and Cao-Labora--Buckmaster--Gomez-Serrano, but is flexible enough to handle both periodic and non-radial initial data. This is a joint work with Gonzalo Cao-Labora, Javier Gomez-Serrano, and Gigliola Staffilani.