Speaker
Michael Eden
(University of Regensburg)
Description
We consider a coupled Stokes–reaction–diffusion system posed in a non-periodically perforated domain with solid spherical inclusions whose radii evolve according to a surface reaction law. In the critical scaling regime, where the inclusions have size of order (\e^3), we prove well-posedness of the microscopic problem using a contraction mapping argument. We then analyze the asymptotic asymptotic limit as (\e\to0). The resulting effective model couples a Brinkman-type flow equation to a macroscopic reaction–diffusion equation and a transport equation for the measure-valued particle-size distribution.
Author
Michael Eden
(University of Regensburg)