Academic Report of School of Mathematical Sciences [2026] No. 017

(Series Report for High-Level University Construction No. 1276)

Title：Recent Progress on some Flow-Structure Interaction Models

Speaker：Professor Xiang Wan（Loyola University Chicago）

Time：14:00-15:00, Mar. 10, 2026

Location：Huixing Building 501

Abstract：In this talk, we will examine several coupled PDE systems that model the interaction between a flow (e.g., gas or fluid) and a structure (e.g., beam or plate). These models arise in many physics and engineering applications. Intuitively, their behavior is governed not only by the constitutive equations (parabolic, hyperbolic, or various damping mechanisms) but also by the boundary conditions, particularly at the interface where the flow meets the structure.

Starting from a canonical heat–wave coupling, we will analyze the underlying semigroups and, in some cases, provide a sharp description of the spectral locations of the generators and their adjoints. Several recent results, as well as open problems, will be introduced. These tools and results will reveal how each component influences the well-posedness and long-time behavior of the coupled system.

Speaker Profile: Xiang Wan earned his Ph.D. from the Department of Mathematics at the University of Virginia, where he studied under Professor Irena Lasiecka, a leading expert in the control theory of partial differential equations. He subsequently conducted postdoctoral research at Wayne State University (Detroit) and George Washington University (Washington, D.C.). He joined the faculty of the Department of Mathematics at Loyola University Chicago in 2022. His research focuses primarily on control theory related to partial differential equations, including the existence and smoothness of solutions for plate equations and fluid-structure interaction problems (parabolic and hyperbolic), as well as boundary control problems. Some of his work has been supported by the U.S. National Science Foundation (NSF).

Faculty and students are welcome to attend!

Invited by: Qingtian Zhang

School of Mathematical Sciences

March 5, 2026