Date: Mar 23rd, Thursday
Time: 3:00 pm
Place: Atrium
Speaker: Sujeet Bhat

Title: A multiscale analysis of a nonlinear boundary value problem 
modeling electrolytic voltage potential.

Abstract:

We study a nonlinear elliptic boundary value problem arising from
electrochemistry in the study of heterogeneous electrode surfaces. The 
boundary condition is of exponential type (Butler-Volmer) and has a 
periodic structure. Using homogenization, we find a limiting or 
effective problem as the period approaches zero, along with a first 
order correction. We establish convergence estimates and provide 
numerical experiments.