4 problems

Let $\tau$ be the relaxation time, and consider the jamiton produced by a collision. Denote its length by $L$. Length-dependence conjecture. The length of the jamiton resulting fro…

Let $\tau$ be the relaxation time, and consider the jamiton produced by a collision. Denote its amplitude by $A$ and its downstream density by $\rho_+$. Amplitude and downstream-de…

Let $\tau$ be the relaxation time in the second-order macroscopic traffic model, and consider the jamiton produced by a collision. Sonic-velocity invariance conjecture. The sonic v…

Polynomial relaxation-time conjecture. For all lattice dimensions $d\geq 2$, all $N\geq 2$, and arbitrary boundary conditions, the relaxation time is at most of order $L^d$ at any…