Mathematics Colloquia and Seminars
Prandtl Boundary Layer ExpansionsPDE and Applied Math Seminar
|Speaker:||Sameer Iyer, Princeton|
|Start time:||Thu, Oct 17 2019, 3:10PM|
We will introduce the boundary layer theory, a classical topic in fluid dynamics, and survey a few recent results. We will culminate with the following result, obtained in collaboration with Yan Guo: Consider the vanishing viscosity limit for the 2D steady Navier-Stokes equations in the region $0\le x\le L$ and $0 \le y \le \infty $ with no slip boundary conditions at $y=0$. For $L\ll 1$, we justify the validity of the steady Prandtl layer expansion for scaled Prandtl layers, including the celebrated Blasius boundary layer.