3 problems

Spatially unentangled reference-state conjecture. The relevant reference state would be a state without spatial entanglement.

Consider the $\mu$-Hunter–Saxton equation on the circle, with initial momentum $\omega_0(x)$. $\mu$-Hunter–Saxton breakdown conjecture. Breakdown occurs if and only if the momentum…

Consider a one-dimensional Euler–Arnold equation on the circle, with Lagrangian flow $\eta(t,x)$, velocity $u(t,x)$, momentum operator $L$, and conserved momentum…