2 problems

Let $n\geq 2$, let $g(y',s)=\psi(y')\phi(s)\mathbf e_n$ be the boundary data for the Stokes system in the half space, where $\psi\geq 0$, $\psi\in C^\infty_c(B'_{1/2})$,…

The unsteady two-dimensional Prandtl equation describes tangential velocity $u$ and normal velocity $v$ near a boundary, with separation occurring at time $t_0$. Necessary-conditio…