DE Seminar: Jeffrey Kuan (UC Berkeley)
Graduate Student Presentations
Monday, September 12, 2022 · 11 AM - 12 PM
Title: Recent
progress in stochastic fluid-structure interaction
Abstract: In this talk, we summarize recent results in stochastic
fluid-structure interaction, which is the study of coupled fluid-structure
systems under the additional influence of random stochastic effects. Such
models are motivated by real-life fluid-structure systems found in biomedicine
and engineering, in which there are significant random effects that affect the
coupled fluid-structure dynamics. We will present recent developments in
this direction, focusing in particular on a well-posedness result for a stochastic
fluid-structure interaction system involving Stokes flow interacting with an
elastic membrane, under the additional influence of random stochastic forcing
in time. This is done by a constructive existence proof, involving a new
splitting method and a combination of tools from deterministic fluid-structure
interaction and stochastic PDEs. This is joint work with Sunčica Čanić at UC
Berkeley.