An electrochemistry model with nonlinear diffusion: steady-state solutions
- 1 April 2001
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 66 (2) , 195-213
- https://doi.org/10.1093/imamat/66.2.195
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.Keywords
This publication has 0 references indexed in Scilit: