中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： Jia Shi(Massachusetts Institute of Technology)

题  目：Non-radial implosion for compressible Euler and Navier-Stokes in T3 and R3

时  间：2024.03.18（星期一）9:00-10:00

地  点：Zoom ID: 924 888 5804  Passcode: AMSS2022

摘 要：We will discuss the smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. The construction is motivated by the radial imploding solutions from Merle-Raphaël--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.