Blow-up of a general Keller-Segel system with source and damping terms (Q2822186)
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scientific article; zbMATH DE number 6630248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up of a general Keller-Segel system with source and damping terms |
scientific article; zbMATH DE number 6630248 |
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27 September 2016
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nonlinear parabolic systems
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blow-up time
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chemotaxis
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Keller-Segel model
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gradient non-linearity
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0.9385952
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0.91792244
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0.9159296
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0.91471565
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0.9131132
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0.9100509
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Blow-up of a general Keller-Segel system with source and damping terms (English)
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In this paper fully parabolic Keller-Segel type system in a three dimensional spatial domain is studied. The authors suppose that there exist non-negative and blow-up solutions of the system under consideration of a finite time \( t^{*} \). Then they obtain the explicit lower bound \( T \) for \( t^{*} \) under suitable conditions on the coefficients, the source and dumping terms, and the spatial domain. The model which is studied in the paper - so called Keller-Segel model arises in chemotactic collapse phenomena.
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