8 problems

Cauchy-horizon conjecture. The perturbed solution has a Cauchy horizon that is a perturbation of the Cauchy horizon of the background solution.

Crease-and-singular-boundary conjecture. The perturbed solution has a crease and singular boundary that are perturbations of the crease and singular boundary of the background solu…

Time-of-first-blowup conjecture. The perturbed solution forms a shock at a time that is a perturbation of $T_{\mathrm{Shock}}$; its first blowup time is the smallest value of $t$ a…

Under the relations referred to in the source as equations … , let $p$ be the pressure, $e$ the energy density, and $S$ the entropy variable. The conjecture asserts that $p$ is a s…

Let $n>0$ and $\gamma>0$ denote the particle number density and inverse temperature, respectively, and let $k_B,e,m,c,h$ be the Boltzmann constant, elementary charge, particle mass,…

Let $M>0$, let $v=v(t,r)\in[-1,1]$ solve the relativistic Burgers equation on the Schwarzschild exterior $r>2M$, and let the initial data be a compactly perturbed steady shock. Asy…

Kinetic equation of state hyperbolicity and causality conjecture. Under this equation of state, there exists a smooth function $f_{\rm kinetic}$ such that

Kinetic equation of state auto-diffeomorphism conjecture. The map $(n,\beta)\leftrightarrow(\eta,\rho)$ given implicitly by these equations is an auto-diffeomorphism of…