4 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…

Optimal Gevrey exponent conjecture. The best possible Gevrey exponent for well-posedness of $$ should be

Let $Re$ denote the Reynolds number, let $t_s$ be the time at which Prandtl's solution develops its separation singularity, and let $\delta_{NS}$ be the width of the analyticity st…

Let $Re$ denote the Reynolds number, and let $LS$ and $SS$ denote, respectively, the large-scale and small-scale interactions between the viscous boundary layer and the inviscid ou…