中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: Jia Shi（MIT）

Inviter: 阮国兴

Language: English

Title: Constructing finite time singularities for some nonlinear PDEs

Time&Venue: 2025年6月27日（星期五）16:00-17:00

& S713

Abstract:In this talk I will introduce the implosion blow-up results for the compressible Euler, the compressible Navier-Stokes equations and the defocusing nonlinear Schrödinger equation. We will discuss the existence of self-similar solutions and the stability near those solutions. During the talk I will mention our work with Gonzalo Cao-Labora, Javier Gómez-Serrano and Gigliola Staffilani on the first non-radial implosion result for those three equations.