Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
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 eq...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.66 |
| Online Access: | http://acta.bibl.u-szeged.hu/73627 |
| LEADER | 01355nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73627 | ||
| 005 | 20211105122755.0 | ||
| 008 | 211105s2020 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.66 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Berti Diego | |
| 245 | 1 | 0 | |a Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations |h [elektronikus dokumentum] / |c Berti Diego |
| 260 | |c 2020 | ||
| 300 | |a 34 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Corli Andrea |e aut |
| 700 | 0 | 1 | |a Malaguti Luisa |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73627/1/ejqtde_2020_066.pdf |z Dokumentum-elérés |