4 problems

Conjecture 1. There exists $E_{\Omega}>E_d$ such that the displayed inequality holds for every $E>E_{\Omega}$. This is a proposed high-energy strict-convexity property of the entro…

Let $theta^ u=(thetak^ u){kinmathbb Z0^2}$ be the noise coefficients, and write … The notation $|k|\eqsim\nu^{-\delta}$ means that the active frequencies are comparable to…

Let $\Omega$ be a convex domain of second kind. Let the conclusions of Theorem 3 denote the properties established there for the entropy and mean field equation in the paper. Conje…

The vorticity field is approximated by a superposition of deformable elliptical vortices, and higher-order vortex-shape contributions are averaged out to obtain an effective action…