El Instituto de Ingeniería Matemática y Computacional (IMC) invita al Seminario de Matemáticas Aplicadas y Computacionales que se realizará el 7 de mayo.
Anastasios Matzavinos, Instituto de Ingeniería Matemática y Computacional.
Miércoles 7 de mayo de 2025, 13:40 hrs. (Presencial en auditorio Edificio San Agustín)
ABSTRACT
In this talk, we focus on the Keller–Segel chemotaxis system in a random heterogeneous domain. We assume that the corresponding diffusion and chemotaxis coefficients are given by ergodic random fields and apply stochastic two-scale convergence methods to derive the homogenized macroscopic equations. In establishing our results, we also derive a priori estimates for the Keller–Segel system that rely only on the boundedness of the coefficients; in particular, no differentiability assumption on the diffusion and chemotaxis coefficients of the chemotactic species is required. Finally, we prove the convergence of a periodization procedure for approximating the homogenized macroscopic coefficients. This is joint work with Mariya Ptashnyk.
