IMA Postdoc Seminar (February 19, 2008)

Speaker: Sujeet Bhat (IMA)

Title: Homogenization of a nonlinear elliptic boundary value problem related to corrosion modeling

Abstract: We study a nonlinear elliptic boundary value problem motivated by a corrosion model used in the electrochemistry community in the study of heterogeneous electrode surfaces. The boundary condition is of an exponential type with periodically varying parameters. We treat the problem from the point of view of homogenization theory by constructing a first-order asymptotic approximation. We establish convergence estimates for both the two and three-dimensional case and provide two-dimensional numerical experiments.