In this paper we investigate a diffusive logistic model with a free boundary in one space
dimension. We aim to use the dynamics of such a problem to describe the spreading of a …

In this short survey, we describe some recent developments on the modeling of propagation
by reaction-differential equations with free boundaries, which involve local as well as …

We study nonlinear diffusion problems of the form ut= uxx+ f (u) with free boundaries. Such
problems may be used to describe the spreading of a biological or chemical species, with …

An SIR epidemic model with free boundary is investigated. This model describes the
transmission of diseases. The behavior of positive solutions to a reaction–diffusion system in …

This paper deals with a one-dimensional coupled system of semi-linear parabolic equations
with a kinetic condition on the moving boundary. The latter furnishes the driving force for the …

We consider a one-phase Stefan problem for the heat equation with a superlinear reaction
term. It is known from a previous work (Ghidouche, Souplet, & Tarzia [5]) that all global …

A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification
of the pt-law of propagation Page 1 Interfaces and Free Boundaries 15 (2012), 167–180 DOI …

This paper concerns a double fronts free boundary problem for the reaction–diffusion
equation with a nonlocal nonlinear reaction term in space. For such a problem, we mainly …

In this paper, we are interested in the long time behavior of approximate solutions to a free
boundary model which appears in the modeling of concrete carbonation [1]. In particular, we …

We show how the Stefan type free boundary problem with random diffusion in one space
dimension can be approximated by the corresponding free boundary problem with nonlocal …