Sunto Le equazioni paraboliche singolari (1.1) nella introduzione, si presentano come
modelli di una classe generale di fenomeni di diffusione con cambio di fase. Le soluzioni …

From the mathematical formulation of a one-dimensional flow through a partially saturated
porous medium, we arrive at a nonlinear free boundary problem, the boundary being …

This series is aimed at publishing work dealing with the definition, development and
application of fundamental theory and methodology, computational and algorithmic …

The aim of these notes is to include in a uniform presentation style several topics related to
the theory of degenerate nonlinear diffusion equations, treated in the mathematical …

A general stability and convergence theorem is established for generalized solutions of a
family of nonlinear evolution equations with non-local diffusion in one space dimension. As …

We study the relaxation of surface profiles by solving numerically the continuum equations
as a free boundary problem. For surface diffusion we obtain a nearly linear decay of the …

This paper deals with the modelling of the rain water infiltration through the soil above the
aquifer in case of runoff of the excess water. The main feature of the model lies on the …

An existence and uniqueness result is proved for a variational inequality of evolution. The
problem consists of a nonlinear parabolic/elliptic differential equation for which Dirichlet …

In this paper the nonlinear parabolic Neumann problem Ut-! 1 (3 (u) 3 f in Q=(0, T) x!
1,(8/8n)(3 (u) 3 h on~=(0, T) x 8! 1, u (O, x)= u0 (x) in! 1, is studied, where (3 is a maximal …

We present a rigorous mathematical treatment of a model describing rain water infiltration
through the vadose zone in case of runoff of the excess water. The main feature of the …