4 problems

Let $z=(z_1,\ldots,z_N)$ be a configuration of $N$ equal vortices, each of vorticity $1$, and define the pre-shape set … For almost every $z\in\Gamma_N$, the time average of the em…

Let $N>1$ and $0<\varepsilon\ll 1$. Suppose that the initial vorticity $\omega_0^\varepsilon$ is decomposed into $N$ blobs, each with circulation $\gamma>0$, sharply concentrated a…

Marchioro–Pulvirenti conjecture. The set of collapses ${\mathfrak C}$ has Lebesgue measure $0$.

Speculative zeta-function connection. A connection may exist between the zeros of Riemann's zeta function and the quantization of a $3/2$ degrees-of-freedom vortex monopole problem…