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Global existence to a chemotaxis-consumption model with nonlinear diffusion and singular sensitivity

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ABSTRACT This paper deals with the chemotaxis-consumption model with singular sensitivity and nonlinear diffusion under the homogenous Neumann boundary condition in a smooth-bounded domain , with positive parameters and ,… Click to show full abstract

ABSTRACT This paper deals with the chemotaxis-consumption model with singular sensitivity and nonlinear diffusion under the homogenous Neumann boundary condition in a smooth-bounded domain , with positive parameters and , , for , m>1 and . The main goal of this paper is to prove the existence of global classical solutions when and .

Keywords: consumption model; singular sensitivity; nonlinear diffusion; chemotaxis consumption

Journal Title: Applicable Analysis
Year Published: 2019

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