3 problems

Asymptotic velocity-term dominance conjecture. As the singularity $t=0$ is approached, the spatial derivatives of $(P,Q)$ become negligible and $(P,Q)$ approach a solution of the o…

Consider solutions of the full nonlinear Gowdy equations with an asymptotic expansion … where $k\geq 0$ and $\varphi$, $q$, and $\psi$ are prescribed. The quantity $k$ is the asymp…

Asymptotic velocity conjecture. As $t\to 0$, the quotient $P(t,x)/\ln t$ should approach a limit $k=k(x)$, and $k(x)$ should belong to $[0,1)$ except on a set of exceptional values…