On global regularity theory for the Peskin problem
On global regularity theory for the Peskin problem

Susanna Haziot, Princeton University
Fine Hall 314
The Peskin problem describes the flow of a Stokes fluid through the heart valves. We begin by presenting the simpler 2D model and investigate its small data critical regularity theory, with initial data possibly containing small corners. We then present the 3D problem and describe the challenges that arise to proving global wellposedness.
The first part is joint work with Eduardo GarciaJuarez, and the second is ongoing work with Eduardo GarciaJuarez and Yoichiro Mori