EnglishThe paper deals with the existence and properties of frontpropagation between the stationary states 0 and 1 of the reaction-diffusion-advection equation with a bistable reaction term G and a strictly positive diffusive process. We show that the additional transport term h can cause the disappearance of such wavefronts and prove that their existence depends both on the local behavior of G and h near the unstable equilibrium and on a suitable sign condition on h in [0, 1]. We also provide an estimate of the wave speed, which can be negative unlike what happens to the mere reaction-diffusion dynamic occurring when h ≡ 0.
Front propagation in bistable reaction-diffusion-advection equations / Malaguti, Luisa; C., Marcelli; S., Matucci. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 9(2004), pp. 1143-1166.
| Data di pubblicazione: | 2004 |
| Titolo: | Front propagation in bistable reaction-diffusion-advection equations |
| Autore/i: | Malaguti, Luisa; C., Marcelli; S., Matucci |
| Autore/i UNIMORE: | |
| Rivista: | |
| Volume: | 9 |
| Pagina iniziale: | 1143 |
| Pagina finale: | 1166 |
| Codice identificativo ISI: | WOS:000208530000007 |
| Codice identificativo Scopus: | 2-s2.0-34249063674 |
| Citazione: | Front propagation in bistable reaction-diffusion-advection equations / Malaguti, Luisa; C., Marcelli; S., Matucci. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 9(2004), pp. 1143-1166. |
| Tipologia | Articolo su rivista |
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http://hdl.handle.net/11380/454909
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