Shenzhen University School of Mathematical Sciences

Liyuan Scholars Colloquium No. 133

Lecture Title: Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry

Speaker: Wang Dehua(Professor, University of Pittsburgh, USA)

Date & Time: 4:30–5:30 PM, June 20, 2025

Venue: Classroom 1, Huixing Building, Yuehai Campus, Shenzhen University

Abstract: In this talk, we will discuss the Euler equations and applications in gas dynamics and geometry. First, the basic theory of Euler equations and mixed-type problems will be reviewed. Then we will present the results on the transonic flows past obstacles, transonic flows in the fluid dynamic formulation of isometric embeddings, and the transonic flows in nozzles. We will discuss global solutions and stability obtained through various techniques and approaches.

Biography: Wang Dehua is a tenured professor in the Department of Mathematics at the University of Pittsburgh, USA. He earned his B.S. from Tsinghua University and Ph.D. from the University of Chicago, specializing in partial differential equations and applied mathematics, with focuses on hyperbolic conservation laws, nonlinear fluid mechanics, and related applications. He has led multiple NSF projects, published nearly 100 papers in top journals such as Advances in Mathematics, Mathematische Annalen, Communications in Mathematical Physics and Archive for Rational Mechanics and Analysis, with over 2000 citations, and serves on editorial boards of SIAM Journal on Mathematical Analysis, Journal of Differential Equations etc.

All faculty and students are welcome!

School of Mathematical Sciences

June 12, 2025