70 citations · 313 across the 31 of their papers we have counts for
4 papers · 2 filters
A fast regularisation of a Newtonian vortex equation
José A. Carrillo, David Gómez-Castro, Juan Luis Vázquez
We consider equations of the form , where is the Newtonian potential (inverse of the Laplacian) posed in the whole sp…
The one-phase fractional Stefan problem
Félix del Teso, Jørgen Endal, Juan Luis Vázquez
We study the existence and properties of solutions and free boundaries of the one-phase Stefan problem with fractional diffusion posed in . In terms of the enthalpy $…
Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains
Alessandro Audrito, Juan Luis Vázquez
For a fixed bounded domain we investigate the asymptotic behaviour for large times of solutions to the -Laplacian diffusion equation posed in a tubular…
On a fractional thin film equation
Antonio Segatti, Juan Luis Vázquez
This paper deals with a nonlinear degenerate parabolic equation of order between 2 and 4 which is a kind of fractional version of the Thin Film Equation. Actually, this one cor…