Blow‐Up in the Critical Quasilinear Keller–Segel System With Indirect Signal Production
Taian Jin, Yuxiang Li
Source abstract
ABSTRACT We study the Neumann initial‐boundary value problem for the following quasilinear chemotaxis system with indirect signal production in with . Here , for all . We prove that and decide about the occurrence of blow‐up: namely, it is seen that if then at each appropriately large mass level , there exist radial initial data such that , and that the associated solution blows up either in finite or in infinite time. Especially, if or then the blow‐up can only happen in infinite time.
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