Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (4): 352-361.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.003

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Global Existence of Solutions to The Keller-Segal System with Initial Data of Large Mass

  

  1. Department of Mathematics,College of Science,Hohai University

Abstract: In this paper,the Cauchy problem of the classical Keller-Segel chemotaxis model with initial data of large mass is considered.By the Green’s function method and scaling technique,we prove that if‖u0‖■‖u0‖■ and κ‖Δv0‖Lp are less than some constant,then the problem always admits a unique global classical solution,even when the initial mass‖u0‖L1 is large.Moreover,the decay rates of the classical solution are also obtained. 

Key words: Chemotaxis, Keller-Segel, Large mass, Global existence, Decay rate

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