70 citations · 313 across the 31 of their papers we have counts for
6 papers · 1 filter
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 $…
Separatrices in the Hamilton-Jacobi Formalism of Inflaton Models
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina +1
We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lema\^ıtre-Robertson-Walker universe. Th…
Steady state cyclic behaviour of a half-plane contact in partial slip subject to varying normal load, moment, shear load, and moderate differential bulk tension
H. N. Andresen, D. A. Hills, J. R. Barber +1
A new solution for a general half-plane contact in the steady state is presented. The contacting bodies are subject to a set of constant loads - normal force, shear force and bulk…
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…