2 problems

The Prandtl equations in the two-dimensional half-plane describe the tangential velocity $u$, normal velocity $v$, and outer-flow pressure $p_E$, with finite-time separation referr…

Let the initial datum be analytic in $x$ and $C^2$ in $Y$, and consider the corresponding Prandtl solution, which remains regular for a short time under these hypotheses. Analytici…