Journal
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume -, Issue 66, Pages 1-34Publisher
UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/ejqtde.2020.1.66
Keywords
degenerate and doubly degenerate diffusivity; diffusion-convection-reaction equations; traveling-wave solutions; sharp profiles; semi-wavefronts
Categories
Funding
- Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available