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EnglishAbstract. This paper is concerned with a parabolic Keller-Segel system in R^n, with n = 2 and 3, under Neumann boundary conditions on the boundary. Firstly important theoretical and general results dealing with lower bounds for blow-up time estimates are summarized and analyzed. Secondly, a resolution method is proposed and used to both compute the real blow-up times of such unbounded solutions and analyze and discuss some of their properties.
| Titolo: | On explicit lower bounds and blow-up times in a model of chemotaxis |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Abstract: | Abstract. This paper is concerned with a parabolic Keller-Segel system in R^n, with n = 2 and 3, under Neumann boundary conditions on the boundary. Firstly important theoretical and general results dealing with lower bounds for blow-up time estimates are summarized and analyzed. Secondly, a resolution method is proposed and used to both compute the real blow-up times of such unbounded solutions and analyze and discuss some of their properties. |
| Handle: | http://hdl.handle.net/11584/70032 |
| Tipologia: | 1.1 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Farina_Marras_Viglialoro.pdf | versione pre-print | Open Access Visualizza/Apri |
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