Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production  

作　　者：CAO Ruxi LI Zhongping 

机构地区：[1]College of Mathematics and Information,China West Normal University,Nanchong 637009,China.

出　　处：《Journal of Partial Differential Equations》2023年第3期262-285,共24页偏微分方程（英文版）

基　　金：supported by the Research and Innovation Team of China West Normal University(CXTD2020-5).

摘　　要：In this paper,we consider the quasilinear chemotaxis system of parabolicelliptic type■.under homogeneous Neumann boundary conditions in a smooth bounded domain■n≥1.The nonlinear diffusivity D(ζ)and chemosensitivity f(ζ)as well as nonlinear signal production g(ζ)are supposed to extend the prototypes■We proved that if m+k+l>1+2/n,then there exists nonnegative radially symmetric initial data uo such that the corresponding solutions blow up in finite time.However,the system admits a global bounded classical solution for arbitrary initial datum when m+k+l<1+2/n.

关 键 词：CHEMOTAXIS nonlinear diffusion BLOW-UP BOUNDEDNESS nonlinear signal production 

分 类 号：O175[理学—数学]