8 papers
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…
Nonlocal solutions of parabolic equations with strongly elliptic differential operators
Irene Benedetti, Luisa Malaguti, Valentina Taddei
The paper deals with second order parabolic equations on bounded domains with Dirichlet conditions in arbitrary Euclidean spaces. Their interest comes from being models for describ…
Viscous profiles in models of collective movements with negative diffusivities
Andrea Corli, Luisa Malaguti
In this paper we consider an advection-diffusion equation, in one space dimension, whose diffusivity can be negative. Such equations arise in particular in the modeling of vehicula…
Sharp profiles in models of collective movements
Andrea Corli, Lorenzo di Ruvo, Luisa Malaguti
We consider a parabolic partial differential equation that can be understood as a simple model for crowds flows. Our main assumption is that the diffusivity and the source/sink ter…