9 citations · 24 across the 15 of their papers we have counts for
19 papers
Shock wavefronts for parabolic equations with sign-changing diffusivity
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a reaction-diffusion equation in a one-dimensional space, where the diffusion coefficient changes sign from positive to negative and back to positive. The reaction term…
The role of convection in the existence of wavefronts for biased movements
Diego Berti, Andrea Corli, Luisa Malaguti
We investigate a model, inspired by (Johnston et al., Sci. Rep., 7:42134, 2017), to describe the movement of a biological population which consists of isolated and grouped organism…
Coherence and flow-maximization of a one-way valve
Andrea Corli, Ulrich Razafison, Massimiliano D. Rosini
We consider a mathematical model for the gas flow through a one-way valve and focus on two issues. First, we propose a way to eliminate the chattering (the fast switch on and off o…
Diffusion-convection reaction equations with sign-changing diffusivity and bistable reaction term
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a reaction-diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is…
Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity
Diego Berti, Andrea Corli, Luisa Malaguti
We consider in this paper a diffusion-convection reaction equation in one space dimension. The main assumptions are about the reaction term, which is monostable, and the diffusivit…
Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a scalar parabolic equation in one spatial dimension. The equation is constituted by a convective term, a reaction term with one or two equilibria, and a positive diffu…