13 citations · 14 across the 3 of their papers we have counts for
4 papers
Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions
Matthieu Alfaro, Thomas Giletti
We focus on the spreading properties of solutions of monostable equations with non-linear diffusion. We consider both the porous medium diffusion and the fast diffusion regimes. In…
Asymptotic analysis of a monostable equation in periodic media
Matthieu Alfaro, Thomas Giletti
We consider a multidimensional monostable reaction-diffusion equation whose nonlinearity involves periodic heterogeneity. This serves as a model of invasion for a population facing…
Varying the direction of propagation in reaction-diffusion equations in periodic media
Matthieu Alfaro, Thomas Giletti
We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation ph…
Convergence to pulsating traveling waves with minimal speed in some KPP heterogeneous problems
Thomas Giletti
The notion of traveling wave, which typically refers to some particular spatio-temporal con- nections between two stationary states (typically, entire solutions keeping the same pr…