Abstract
In this paper, we consider the following quasilinear chemotaxis system involving nonlocal effect
where \(\Omega =B_{R}(0)\subset {\mathbb {R}}^n (n\ge 3)\) with \(R>0,\) the parameters \(\mu , \alpha \) are positive constants and diffusion function \( \varphi (u)\le C_{0}(1+u)^{-m}\) for all \(u\ge 0\) with \(C_{0}>0\) and \(m> -1.\) It has been shown that if
then there exist suitable initial data \(u_{0}\) such that the corresponding radially symmetric solution blows up in finite time. In this work, we extend the blow-up result established by previous researchers.
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Acknowledgements
We would like to deeply thank the editor and anonymous reviewers for their insightful and constructive comments. We also deeply thank Professor Li-Ming Cai for his support.
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Communicated by Hongjun Gao.
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This work was partially supported by the National Natural Science Foundation of China Nos. 11901500, 12271466, Scientific and Technological Key Projects of Henan Province No. 232102310227, No. 222102320425 and Nanhu Scholars Program for Young Scholars of XYNU No. 2020017.
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Wang, CJ., Zhu, JY. Blow-up Analysis to a Quasilinear Chemotaxis System with Nonlocal Logistic Effect. Bull. Malays. Math. Sci. Soc. 47, 60 (2024). https://doi.org/10.1007/s40840-024-01659-7
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DOI: https://doi.org/10.1007/s40840-024-01659-7