Article
An Electrochemistry Model With Nonlinear Diffusion: Steady-State Solutions
IMA Journal of Applied Mathematics
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
Citation Information
Weifu Fang and Kazufumi Ito. "An Electrochemistry Model With Nonlinear Diffusion: Steady-State Solutions" IMA Journal of Applied Mathematics Vol. 66 Iss. 2 (2001) p. 195 - 213 ISSN: 0272-4960 Available at: http://works.bepress.com/weifu_fang/49/