3 problems

Weak convergence conjecture. As $M\to\infty$, $\omega^M\to\omega$ in a suitably weak sense; in particular,

Let $W$ be a noise satisfying Assumption … {rm d} omega + operatorname{curl}^{-1} omegacdot nabla omega, {rm d} t + circ {rm d} Wcdot nabla omega = 0 … such that these stochastic 2…

Let $\mathcal M=\mathbb T^d$ and consider the stochastic partial differential equation referred to as … decay exponentially, with an exponential rate arbitrarily close to $-\infty$…