Applied Math Colloquium: Jeffrey Kuan (UMD)

Title: Fluid Dynamics and Complex Flows: Modeling, Analysis, and Applications

Abstract: Fluids and complex flows are commonplace in the physical world. The mathematical analysis of these flows has widespread applicability to the modeling of liquids and gases, biomedical devices, mechanical structures, and collective systems such as flocks and herds. In this talk, I give a broad overview of the field of fluid dynamics, with an emphasis on applications and modeling. We introduce fluid dynamical models for incompressible/compressible and viscous/inviscid fluids. We then discuss interesting directions of recent research in fluid dynamics, such as the study of stochastic (random-in-time) fluid dynamics and multiphysical coupled fluid systems. Throughout the talk, I will also mention some of my recent work on the deterministic and stochastic analysis of fluids, including applications to biology and physics.