3 problems

The paper considers systems such as (1) and (2), for which weak solutions to a Guderley–Morawetz problem are obtained on suitable domains by the methods developed there. Extension…

Horizontal-component scattering conjecture. There exist final states $\mathcal Z_{1,\infty}^{\pm}$ and some $\kappa>0$ such that

Let $\rho_0$ denote the initial density in the pressureless Euler–Poisson system, and let $\partial_x\rho_0$ be its spatial derivative. Noncriticality conjecture. For the pressurel…