Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem中国科学院数学与系统科学研究院应用数学研究所

Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem

Title:	Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
Speaker:	向伟博士,香港城市大学数学系
Inviter:
Time & Venue:	2023.3.17 9:00 腾讯会议 469-871-812
Abstract:	We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The approach is based on a nonlinear version of the method of continuity.
Affiliation:	向伟博士毕业于复旦大学，曾在牛津大学数学研究所担任Titchmarsh research fellow. 主要研究领域为流体力学中的非线性偏微分方程, 在高维守恒律和激波等方面取得了一系列成果，发表在Advances in Mathematics、Annals of PDE、Communications in Mathematical Physics、Archive for Rational Mechanics and Analysis、SIAM Journal on Mathematical Analysis、Annales de l’Institut Henri Poincare (C)等期刊上. 曾获2015年香港特别行政区大学教育资助委员会Early Career Award和2020年香港数学会HKMS Outstanding Young Scholars Award.