Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
| Autor: | Berti, Diego, Corli, Andrea, Malaguti, Luisa |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 35 pages, 10 figures; submitted version. Revision with exposition changes, typos fixed and assumption (6.3) added to Propositions 6.1 and 8.2 |
| Databáze: | arXiv |
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