Well-posedness and global behavior of the Peskin problem
Speaker
陈可
, 复旦大学
Time
18 Dec, 17:00 - 17:40
Abstract
The Peskin problem models the dynamics of a closed elastic filament immersed in an incompressible fluid. In this talk we will present local and global well-posedness results for the 2D Peskin problem in critical spaces. Specifically, we will prove the local well-posedness for any initial data in satisfying the so-called well-stretched assumption. Then, we will show that when the initial string configuration is sufficiently close to an equilibrium in , global-in-time solution uniquely exists and it will converge to an equilibrium as . This is based on a joint work with Prof. Quoc-Hung Nguyen.