数学季刊 ›› 2019, Vol. 34 ›› Issue (4): 352-361.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.003

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具有大质量初值的Keller-Segel模型解的整体存在性

  


  • 出版日期:2019-12-30 发布日期:2020-08-21
  • 基金资助:

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

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

摘要:

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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