Special Session 141: New trends and methods for differential problems
Homogenization of reaction-diffusion equation with large nonlinear drift
Vishnu Raveendran
University of Bonn Germany
Co-Author(s): I. de Bonis, E.N.M Cirillo , and A. Muntean.
Abstract:
We discuss the periodic homogenization of a reaction-diffusion problem with nonlinear drift posed in an unbounded perforated domain. The nonlinear problem is associated with the hydrodynamic limit of an asymmetric simple exclusion process governing a population of interacting particles crossing a domain with obstacles.
We are interested in deriving the upscaled model equations and the corresponding effective coefficients for the case when the microscopic dynamics are linked to a particular choice of characteristic length and time scales that lead to a fast nonlinear drift.