8 problems

Weak-strong uniqueness. The weak and strong solutions are identical almost everywhere in $[0,T]\times\Omega$. This is presented as an open question for the Navier–Stokes–nonlinear-…

Let liquid helium undergo its superfluid transition, and let Bose–Einstein condensation (BEC) mean macroscopic occupation of a single-particle quantum state. London's conjecture. B…

Instanton superfluidity conjecture. The instanton-driven strong-coupling phase possesses a kind of superfluid component.

Superfluid interpretation conjecture. The DK transition can be interpreted as the emergence of a superfluid component in the strong-coupling phase.

A translational superfluid is a system whose superfluidity concerns translational motion. Its excitation spectrum is the spectrum of elementary excitations, and its infimum as a fu…

Consider a fluid phase with total momentum ${\bf Q}$, and let $\Gamma^{\mathrm{c.m.}}(\kappa)$ denote the probability that the total momentum lies in a momentum-space neighborhood…

Let ${\bf P}$ denote the total momentum of an infinite quantum system and let $T_{\mathrm{s}}$ be the superfluid transition temperature. Zero-momentum component conjecture. Below…

Let ${\bf P}$ denote the total momentum of an infinite interacting quantum system in a superfluid phase. Zero-momentum superfluid conjecture. Below the superfluid transition temper…