Stability Results for a Diffusion Equation With Functional Drift Approximating a Chemotaxis Model
Stability Results for a Diffusion Equation With Functional Drift Approximating a Chemotaxis Model
A hyperbolic-parabolic "chemotaxis" system modelling aggregation of motile cells by production of a diffusible chemoattractant, is approximated by a scalar diffusion equation for the cell density, where the drift term is an explicit functional of the current density profile. We prove the unique existence and, using the Hopf-Cole transformation, the …