Yermal Bhat

University of Colorado Boulder | CUB · Department of Applied Mathematics (College of Engineering)

We study galvanic currents on a heterogeneous surface. In electrochemistry, the oxidation-reduction reaction producing the current is commonly modeled by a nonlinear elliptic boundary value problem. The boundary condition is of exponential type with periodically varying parameters. We construct an approximation by first homogenizing the problem, an...

Understanding and organizing data, in particular understanding the key modes of variation in the data, is a first step toward exploiting and evaluating sensor phenomenology. Spectral theory and manifold learning methods have been recently shown to offer sever powerful tools for many parts of the exploitation problem. We will describe the method of...

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. We find a limiting or effective problem as the period approaches zero, along with a first order correction. We establish conv...

We study a nonlinear elliptic boundary value problem arising from electrochemistry. The boundary value problems occurs in the study of heterogeneous electrode surfaces. The boundary condition is of an exponential type and is normally associated with the names of Butler and Volmer and the notions of galvanic corrosion. We examine the questions of ex...