Marcos Llorca

The fractional Stefan problem: global regularity of the bounded selfsimilar solution

Abstract We study the regularity of the bounded self-similar solution to the one-phase Stefan problem with fractional diffusion posed on the whole line. In terms of the enthalpy $$h(x,t)\ge 0$$ h ( x , t ) ≥ 0 , the evolution equation reads $$ \partial _t h + (-\Delta )^s \Phi (h...