School of Mathematical Sciences Academic Report [2025] No. 016  

(High-Level University Construction Series Report No. 1039)  

Lecture Title: The Integrable Ermakov Structure and Elliptic Vortex Solution in the Inviscid Gas-Liquid Two-Phase Flow

Speaker: Prof. An Hongli (Nanjing University of Science and Technology)  

Date & Time: 4:00–5:00 PM, Thursday, March 20, 2025  

Venue: Room 207, Zhizhi Building, Shenzhen University  

Abstract: The inviscid gas-liquid two-phase flow is an important physical model with wide applications in natural sciences, engineering, and biomedicine. In this talk, we propose a novel elliptic vortex ansatz. We demonstrate that the (2+1)-dimensional inviscid gas-liquid two-phase flow admits an integrable Ermakov structure and elliptic vortex solution.  

Biography: Prof. An Hongli is a female professor at Nanjing University of Science and Technology, an awardee of the "Qinglan Project for Outstanding Young Backbone Teachers in Jiangsu Higher Education," a supervisor of Jiangsu Provincial Excellent Graduate Academic Theses, and a "Zhongshan Scholar - Academic Rising Star" at Nanjing Agricultural University. Her long-term research focuses on integrable system theory, nonlinear wave theory and applications, and machine learning. She has presided over 9 research projects, including 3 National Natural Science Foundation projects, 2 Jiangsu Provincial Natural Science Foundation projects, and an Excellent Class Project from the Merit-Based Funding Fund for Returned Scholars.

All faculty and students are welcome to attend!

Invited by: Huang Jiaxing

School of Mathematical Sciences  

March 17, 2025