Speaker: 胡薇薇教授

Time: 10:00-11:00, 8 May 2026 (Fri.)

Venue: 立身轩二楼

Abstract

We consider a novel approach for the enhancement of fluid mixing via pure stirringstrategies building upon the Least Action Principle (LAP) for incompressible flows.The LAP is formally analogous to the Benamou - Brenier formulation of optimaltransport, but imposes an incompressibility constraint. Our objective is to find avelocity field generated by Hamiltonian flows that minimizes the kinetic energy whileensuring that the initial scalar distribution reaches a prescribed degree of mixedness bya finite time. We derive a rigorous proof for the existence of a global optimal solutionutilizing cellular flows. Numerical experiments demonstrate the effectiveness of ourcontrol design.

About the Speaker

Weiwei Hu is a Professor of Mathematics at the University of Georgia (UGA). Beforeoining UGA, she held a tenure-track position at Oklahoma State University from August2016 to July 2019. Previously, she was a Postdoctoral Fellow in the "Control Theory andits Applications" program at the Institute for Mathematics and its Applications (IMA),University of Minnesota from September 2015 to August 2016), and an NTT AssistantProfessor at the University of Southern California from August 2012 to May 2015. Sheearned her Ph.D. in Applied Mathematics from Virginia Tech in May 2012.

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