4 problems

Sharp decay-rate conjecture. The sharp decay rate of one derivative of this profile should be close to $t^{-3/2}$ rather than $t^{-1.2}$.

Ionescu–Iyer–Jia sharp extremal-layer bounds conjecture. The same inequalities should hold with $2^-$ and $1^-$ in place of $7/4$ and $7/8$, respectively. These bounds quantify the…

Bouchet–Morita depletion-property conjecture. The limiting vorticity profile satisfies

Let $U(y)=(U_s(y),0)$ be a smooth shear layer on the half-plane $y\geq 0$, and consider solutions of the linearized incompressible Euler equations satisfying the boundary condition…