Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term |
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| Authors: | Yingdong Wu Shaohua Wu Xin Cheng & Lei Liu |
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| Affiliation: | School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China |
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| Abstract: | In this paper, we discuss the local existence of weak solutions for a parabolicsystem modelling chemotaxis with memory term, and we show the finite-time blowup and chemotactic collapse for this system. The main methods we used are the fixedpoint theorem and the semigroup theory. |
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| Keywords: | parabolic system chemotaxis memory term fixed point theorem blow-up. |
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