DE Seminar: Jeffrey Kuan (UC Berkeley)

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.