3 papers
math.AP2025
The Fractional Stefan Problem: Global Regularity of the Bounded Selfsimilar Solution"
Marcos Llorca, Juan Luis Vázquez
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 , t…
math.AP2024
Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
Filomena Feo, Juan Luis Vázquez, Bruno Volzone
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar f…
math.AP2015
Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We study a porous medium equation with fractional potential pressure: for , and .…