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Uniqueness and Nonuniqueness of Fronts for Degenerate Diffusion-convection Reaction Equations by Berti, Diego; Corli, Andrea; Malaguti, Luisa is a scholarly article available to read on EtoBox.

What is Uniqueness and Nonuniqueness of Fronts for Degenerate Diffusion-convection Reaction Equations about?

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 diffusivity which can however vanish. We prove the existence and several properties of traveling-wave solutions to such an equation. In particular, we provide a sharp estimate for the minimal speed of the profiles and improve previous results about the regularity of wavefronts. Moreover, we show the existence of an infinite number of semi-wavefronts with the same speed.

Author

Berti, Diego; Corli, Andrea; Malaguti, Luisa

Published

2020

Language

EN