Geodesic
Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 223-230 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.
This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.
DOI : 10.5817/AM2023-2-223
Classification : 35B44, 35K65, 92C17
Keywords: degenerate Keller–Segel system; logistic source 
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Tanaka, Yuya. Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 223-230. doi: 10.5817/AM2023-2-223

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