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BLOW-UP PREVENTION BY QUADRATIC DEGRADATION IN A CHEMOTAXIS SYSTEM WITH LOGARITHMIC SENSITIVITY
- Authors
- JAEWOOK AHN; MYEONGHYEON KIM
- Issue Date
- Dec-2024
- Publisher
- 한국산업응용수학회
- Keywords
- classical solution; Keller-Segel system; quadratic degradation.
- Citation
- Journal of the Korean Society for Industrial and Applied Mathematics, v.28, no.4, pp 182 - 189
- Pages
- 8
- Indexed
- ESCI
KCI
- Volume
- 28
- Number
- 4
- Start Page
- 182
- End Page
- 189
- ISSN
- 1226-9433
1229-0645
- Abstract
- This paper deals with the Keller-Segel system involving quadratic logistic source ru − µu2 and logarithmic sensitivity χ log(a + v). Under the assumption µa + 1 > dχ/4, the global well-posedness and boundedness of classical solutions are established for spatial dimensions two and higher.
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Related Researcher
- Ahn, Jae Wook
- College of Natural Science (Department of Mathematics)