An Electrochemistry Model With Nonlinear Diffusion: Steady-State Solutions

Document Type

Article

Publication Date

4-1-2001

Abstract

We formulate and study the steady-state solutions for an electrochemistry model with nonlinear diffusion. We establish the existence and uniqueness of solutions, prove the global convergence of a successive iteration scheme, and use examples to illustrate the formation of vacuum regions, which is not possible in a linear diffusion model.

DOI

10.1093/imamat/66.2.195

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