Xinyu He

Xinyu He is a Teaching Fellow at the University of Warwick with teaching responsibilities for the 2022/24 academic years, based in office C0.17 and contactable via email Xinyu.He@warwick.ac.uk and phone +44 (0)24 7657 3626.

His research centers on the mathematical analysis of the 3d Euler equations in fluid dynamics, specializing in singularity formation, blow-up phenomena, and geometric methods in partial differential equations. This work bridges theoretical mathematics and fluid mechanics with implications for understanding turbulence and incompressible flow behavior.

Publication trends from 2004-2022 reveal sustained focus on constructing singular solutions to the Euler equations, with recent work (2022 preprint) examining stretching filaments in R^3 flows. The research consistently addresses fundamental questions about finite-time singularities using techniques from mathematical analysis and geometric PDE theory.