Speaker: Dr. Weiwei Hu (胡薇薇博士)

Time: 11:20-12:20, 22 May 2024 (Wednesday) (Beijing time)

Venue:C404, Lijiao Building

Tencent meeting ID: 151-375-317

Abstract

In this talk, we discuss the problem of optimal control design for suppression of singularity via flow advection in chemotaxis modeled by the Patlak- Keller-Segel (PKS) equations. It is well-known that for the system without ad- vection, singularity of the solution may develop at finite time. Specifically, if the initial condition is above certain critical threshold, the solution may blow up at finite time by concentrating positive mass at a single point. In this talk, we will first address the global regularity and stability of the PKS system in the presence of flow advection in a bounded domain, by using a semigroup approach. Then we focus on the design of an optimal flow field for suppressing such singularities. Rigorous theoretical framework and numerical experiments will be presented to demonstrate the ideas.

About Dr. Hu

Weiwei Hu is an associate Professor of Mathematics at the University of Georgia, Athens (UGA), recently awarded Humboldt Research Fellowship for Experienced Researchers. Before joining UGA, Dr. Hu hold a tenure-track position in the Department of Mathematics at the Oklahoma State University (OSU) from August 2016 to July 2019. She also held a Postdoctoral Fellowship at the Institute for Mathematics and its Applications (IMA), University of Minnesota, on the program “Control Theory and its Applications” from September 2015 to August 2016, and a non-tenure-track Assistant Professor position in the Department of Mathematics at the University of Southern California (USC) from August 2012 to May 2015. She received her doctorate in Applied Mathematics at Virginia Tech (VT) in May 2012. Dr. Hu’s current research interests include mathematical control theory of partial differential equations, optimal control of transport and mixing, computational methods for optimal control design and model reduction.