Date/Time Date(s) - 05/04/20233:30 pm - 4:30 pm
Speaker: Suncica (Sunny) Canic – UC Berkeley
Series Title: A Mathematical Approach to the Design of a Bioartificial Pancreas
Lecture Title: Introduction to fluid-structure interaction
Abstract: Fluid-structure interaction problems are ubiquitous in nature, technology, and engineering. Examples include the human heart valves interacting with blood flow, biodegradable micro-beads swimming in water to clean up water pollution, a micro camera in the human intestine used for an early colon cancer detection, and design of next generation vascular stents to prop open the clogged arteries and prevent heart attacks. These are time-dependent, dynamic processes, which involve the interaction between fluids and various structures. Analysis and numerical simulation of fluid-structure interaction (FSI) problems can provide insight into the “invisible” properties of flows and structures that can be used to advance design of novel technologies and improve the understanding of many physical and biological phenomena. Mathematical analysis of FSI models is at the core of this understanding. In this talk we give a brief survey of the recent progress in the area of mathematical well-posedness for moving boundary problems describing fluid-structure interaction between incompressible, viscous fluids and elastic and viscoelastic solids, with the focus on our robust constructive existence proof based on the time discretization via operator splitting, which has been applied to both deterministic and stochastic fluid-structure interaction. Numerical results, based on the constructive existence proof, will be presented.
Location: HH 302