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 .
               
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