Georg S. Weiss

A complete classification of singularities for radial solutions of the Stefan problem

We investigate singularities of radial solutions of the classical two-phase and one-phase Stefan problem. In a remarkable result, M.A. Herrero and J.J.L. Velazquez show existence of a solution such that the free boundary described by $g(t)$ satisfies in dimension $n\geq 3$ $$g(t)=c_n \sqrt{t} |\log t|^{\frac{-1}{n - 2}...