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Posted August 26, 2026
Last modified September 3, 2026

Control and Optimization Seminar Questions or comments?

Pelin Guven Geredeli, Clemson University
Qualitative Properties of Multilayered Structure-Fluid Interaction Coupled PDE Dynamics

We consider a composite structure (multilayered) and fluid interaction PDE system which arises in multi-physics problems, and particularly in biofluidic applications related to the mammalian blood transportation process. The PDE system under consideration consists of the interactive coupling of 3D Stokes flow and 3D elastic dynamics which gives rise to an additional 2D elastic equation on the boundary interface between these 3D PDE systems. We first show the existence-uniqueness properties of the coupled system by means of a nonstandard mixed variational formulation and linear semigroup theory. In the second part, we analyze the long-time behavior of the solutions to such FSI coupled system and address the issue of asymptotic decay of this solution to the zero state via a frequency domain approach.

Posted September 1, 2026

Control and Optimization Seminar Questions or comments?

Jun Liu, University of Waterloo, Canada
TBA