摘要
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.
基金
Supported by the Natural Science Foundation of Jiangsu Province(BK20160856)
the National Natural Science Foundation of China(11801137)。
