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January  2022, 27(1): 343-360. doi: 10.3934/dcdsb.2021045

## Global existence in a chemotaxis system with singular sensitivity and signal production

 1 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China 2 Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, China 3 School of Science, Hubei University of Technology, Wuhan 430068, Hubei, China

* Corresponding author: Heping Ma

Received  October 2020 Revised  December 2020 Published  January 2022 Early access  February 2021

Fund Project: Guoqiang Ren is supported by NNSF of China(Grant No 12001214) and China Postdoctoral Science Foundation (Grant Nos. 2020M672319, 2020TQ0111). Heping Ma is supported by NNSF of China(Grant No 11801154)

In this work we consider the chemotaxis system with singular sensitivity and signal production in a two dimensional bounded domain. We present the global existence of weak solutions under appropriate regularity assumptions on the initial data. Our results generalize some well-known results in the literature.

Citation: Guoqiang Ren, Heping Ma. Global existence in a chemotaxis system with singular sensitivity and signal production. Discrete & Continuous Dynamical Systems - B, 2022, 27 (1) : 343-360. doi: 10.3934/dcdsb.2021045
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