BLOW-UP PREVENTION BY QUADRATIC DEGRADATION IN A CHEMOTAXIS SYSTEM WITH LOGARITHMIC SENSITIVITY

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초록

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.

키워드

classical solutionKeller-Segel systemquadratic degradation.SINGULAR SENSITIVITYGLOBAL EXISTENCEGROWTH SYSTEMBOUNDEDNESS
제목
BLOW-UP PREVENTION BY QUADRATIC DEGRADATION IN A CHEMOTAXIS SYSTEM WITH LOGARITHMIC SENSITIVITY
저자
JAEWOOK AHNMYEONGHYEON KIM
DOI
10.12941/jksiam.2024.28.182
발행일
2024-12
유형
Article
저널명
Journal of the Korean Society for Industrial and Applied Mathematics
28
4
페이지
182 ~ 189