报告题目 Title：Cellular flow control design for mixing based on the least action principle

报告人 Speaker：Weiwei Hu

报告人所在单位 Affiliation：University of Georgia

时间 Time：2025-12-08 15:00

地点 Venue：Room 1601, Guanghua Eastern Main Tower (Handan Campus)

报告摘要 Abstract: We consider a novel approach for the enhancement of fluid mixing via pure stirring strategies building upon the Least Action Principle (LAP) for incompressible flows. The LAP is formally analogous to the Benamou–Brenier formulation of optimal transport, but imposes an incompressibility constraint. Our objective is to find a velocity field generated by Hamiltonian flows that minimizes the kinetic energy while ensuring that the initial scalar distribution reaches a prescribed degree of mixedness by a finite time. We derive a rigorous proof for the existence of a global optimal solution utilizing cellular flows. Numerical experiments demonstrate the effectiveness of our control design.

个人简介 Bio: Weiwei Hu is a Professor of Mathematics at the University of Georgia (UGA). Before joining UGA, she held a tenure-track position in the Department of Mathematics at Oklahoma State University from August 2016 to July 2019. Previously, she was a Postdoctoral Fellow in the Control Theory and its Applications program at the Institute for Mathematics and its Applications (IMA), University of Minnesota from September 2015 to August 2016, and a non-tenure-track Assistant Professor at the University of Southern California from August 2012 to May 2015. She earned her Ph.D. in Applied Mathematics from Virginia Tech in May 2012.

Dr. Hu's research interests include the mathematical control theory of partial differential equations, optimal control of flow-transport systems, and computational methods for optimal control design and model reduction. She has authored more than 40 journal publications and has been awarded multiple grants from agencies such as the NSF and DOD. She also serves on the editorial boards of IEEE Control Systems Society and Applied Numerical Mathematics. In 2024, she was awarded a Humboldt Research Fellowship for Experienced Researchers.

海报 Poster：Weiwei Hu 学术报告.jpg