Stochastic homogenization of the Keller-Segel chemotaxis system
نویسندگان
چکیده
Abstract In this paper, we focus on the one-dimensional Keller-Segel chemotaxis system in a random heterogeneous domain. We assume that the corresponding diffusion and chemotaxis coefficients are given by stationary ergodic processes, and apply methods pertaining to stochastic two-scale convergence to derive the homogenized macroscopic equations. Special attention is paid to developing efficient numerical schemes for approximating the homogenized asymptotic coefficients.
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