Intrinsic Structure of Prandtl Operator
报告人:杨彤教授,香港城市大学 时间:2019年11月15号(周五)15:00-16:00
摘要:In 1904, Prandtl introduced a fundamental system derived from the incompressible Navier-Stokes equation with no-slip boundary condition to capture the behavior of fluid motion near the boundary when viscosity vanishes. Even though there are fruitful mathematical theories developed since the seminal works by Oleinik in 1960s, most of the well-posedness theories are limited to the two space dimensions under Oleinik's monotonicity condition except the classical work by Sammartino-Caflisch in 1998 in the framework of analytic functions and some recent work in Gevrey function spaces.
In this talk, we will present the intrinsic structure of the Prandtl operator that leads to well-posedness theories in different function spaces.