Title：
Regular Shock Reflection-Diffraction Problem
Speaker：
Prof. Wei Xiang, City university of Hong Kong(CityU)
Time：
April 30th, 4:00-5:00pm; HIMIS 7A1
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. We will also discuss our recent results on Euler flows.
Bio：
Wei Xiang received his PhD in Mathematics from Fudan University in 2012. Before joining CityU in 2014, he was a Titchmarsh Research Fellow at the Mathematical Institute and a Junior Research Fellow at Keble College, University of Oxford (2012–2014).
His research focuses on nonlinear partial differential equations arising in fluid mechanics, including nonlinear hyperbolic conservation laws, multidimensional shock waves, and hyperbolic-elliptic mixed-type equations. He has published over 40 papers in
journals such as Advances in Mathematics, Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis, and Annals of PDE.Prof. Xiang is the recipient of the 2015 RGC Early Career Award (Hong Kong) and the 2020 HKMS Outstanding Young Scholars Award (Hong Kong Mathematical Society).