Equations

Reversal in the Stationary Prandtl Equations

Prof. Nader Masmoudi

Apr 13, 13:30 - 14:30

B2 L5 R5220

Reversal Stationary Prandtl Equations

We investigate reversal and recirculation for the stationary Prandtl equations. Reversal describes the solution after the Goldstein singularity, and is characterized by regions in which $u > 0$ and $u 0$. The classical point of view of regarding the Prandtl equations as an evolution equation in $x$ completely breaks down since $u$ changes sign. Instead, we view the problem as a quasilinear, mixed-type, free-boundary problem. Joint work with Sameer Iyer.