4 problems

A viscous shock is a plane-symmetric continuous solution connecting asymptotic thermodynamic equilibrium states that are supersonic in front of the shock and subsonic behind it. Th…

Exact omega-limit-set conjecture. For this initial datum, $\omega_0(u_0)$ is equal to the right-hand side of.

Planar Riemann-problem conjecture. The large-time asymptotic behavior of the solutions to the three-dimensional compressible Navier–Stokes system with different end states and with…

Large-amplitude Evans-function convergence conjecture. In each of these cases, the Evans function converges in the limit to the Evans function for the formal pressureless gas limit…