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Boundedness vs . blow-up in the Keller-Segel system
| Content Provider | Semantic Scholar |
|---|---|
| Author | Winkler, Michael |
| Copyright Year | 2012 |
| Abstract | The fully parabolic Keller-Segel chemotaxis system { ut = ∆u−∇ · (u∇v), x ∈ Ω, t > 0, vt = ∆v − v + u, x ∈ Ω, t > 0, is considered under homogeneous Neumann boundary conditions in bounded domains Ω ⊂ R, n ≥ 1. We demonstrate rigorous analytical techniques which can be used to identify situations when solutions either remain bounded, or exhibit a blow-up phenomenon. In the latter case, which is of particular interest in various applications, we especially focus on the occurrence of blow-up within finite time. ∗michael.winkler@math.uni-paderborn.de 1 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ssdnm.mimuw.edu.pl/pliki/wyklady/warschau_abstract_Winkler.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
