Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source-Reference-Cited by-同舟云学术

Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source

Published:2023-10-17 Issue:6 Volume:74 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Zhang Jing,Mu Chunlai,Tu Xinyu

Funder

China Scholarship Council

Chongqing Science and Technology Innovation Leading Talent Support Program

Natural Science Foundation of Chongqing

Fundamental Research Funds for the Central Universities

Chongqing Key Laboratory of Analytic Mathematics and Applications

National Natural Science Foundation of China

Hong Kong Scholars Program

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-023-02125-3.pdf

Reference60 articles.

1. Ahn, J.: Global well-posedness and asymptotic stabilization for chemotaxis system with signal-dependent sensitivity. J. Differ. Equ. 266, 6866–6904 (2019)

2. Aida, M., Osaki, K., Tsujikawa, T., Mimura, M.: Chemotaxis and growth system with singular sensitivity function. Nonlinear Anal. Real World Appl. 6, 323–336 (2005)

3. Biler, P.: Global solutions to some parabolic-elliptic systems of chemotaxis. Adv. Math. Sci. Appl. 9, 347–359 (1999)

4. Black, T.: Global generalized solutions to a parabolic-elliptic Keller–Segel system with singular sensitivity. Discrete Contin. Dynam. Syst. Ser. S 13, 1–19 (2017)

5. Black, T., Fuest, M., Lankeit, J.: Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller–Segel systems. Z. Angew. Math. Phys. 1–23 (2021)