Berti Diego and Corli Andrea and Malaguti Luisa: Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations. (2020)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 66 |
| ISSN: | 1417-3875 |
| Number of Pages: | 34 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.66 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 32-34. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 05. 12:27 |
| Last Modified: | 2021. Nov. 05. 12:27 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73627 |
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