2 problems

Hunter–Saxton asymptotic profile conjecture. The large-time behavior of every strongly admissible solution as $t\to+\infty$ can be described by $U(x,t;\kappa)$.

Let dissipative solutions of the Hunter–Saxton equation be weak solutions in the class for which uniqueness is known. Zhang–Zheng maximal dissipation conjecture. Dissipative soluti…