Time:14:00-15:00, Monday, March 16 2026

Venue: E14-212, Yungu Campus

Speaker: Xiang Wan, Loyola University Chicago

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 will reveal how each component influences the well-posedness and long-time behavior of the coupled system.

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