具有大质量初值的Keller-Segel模型解的整体存在性

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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