Applied Math Seminar- Speaker: Recent Progress on some Flow-Structure Interaction Models

Speaker: Professor Xiang Wan (Loyola University Chicago)

When: Friday, Jan 16, 3pm

Where: Phillips 730 

 

Title: Recent Progress on some Flow-Structure Interaction Models

 

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 reveal how each component influences the well-posedness and long-time behavior of the coupled system, providing a rigorous mathematical foundation for physically realistic interaction dynamics.