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Analysis and Control in Fluid Flows through Deformable Porous Media

PDE Seminar
March 24, 2022
3:00 pm - 4:00 pm
Zoom

Title:  Analysis and Control in Fluid Flows through Deformable Porous Media

Speaker:  Lorena Bociu (North Carolina State University)

Abstract:  Fluid flows through deformable porous media are relevant for many applications in biology, medicine and bio-engineering, including tissue perfusion and fluid flow inside cartilages and bones. We are interested in perfusion inside the eye and its connection to the development of glaucoma. Mathematically, the problem translates into the study of a quasi-static nonlinear poroelastic system, which is a system of PDEs of mixed parabolic-elliptic type. We answer questions related to ocular tissue biomechanics via well-posedness, sensitivity analysis, and optimal control for the PDE coupled system applied to the eye.

Zoom:  https://osu.zoom.us/j/93517408580?pwd=M1dlWXo1L3oyYXZhY2JFdHRiV0JGQT09

Meeting ID: 935 1740 8580 Password: 314159

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Seminar - PDE