We investigate solutions of the 2d incompressible Euler equations, linearized around steady states which are radially decreasing vortices. Our main goal is to understand smoothness what we call spectral density function associated with operator, hope will be a step towards proving full nonlinear asymptotic stability The motivation for considering that it not possible describe vorticity or strea...

In a recent paper [PLB 837 (2023) 137669] we showed that all measured ($1s_\Lambda$, $1p_\Lambda$) pairs of $\Lambda$ binding energies in $\Lambda$-hypernuclei across the periodic table, $12\leq A \leq 208$, can be obtained from $\Lambda$-nucleus optical potential with only two adjustable $\Lambda N$ and NN$ parameters, associated leading linear quadratic terms nuclear density, derived by fitti...