Electrodiffusional free boundary problem, in a bipolar membrane (semiconductor diode), at a reverse bias for constant current

M. Primicerio, I. Rubinstein, B. Zaltzman

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A singular perturbation problem, modeling one-dimensional time-dependent electrodiffusion of ions (holes and electrons) in a bipolar membrane (semi-conductor diode) at a reverse bias is analyzed for galvanostatic (fixed electric current) conditions. It is shown that, as the perturbation parameter tends to zero, the solution of the perturbed problem tends to the solution of a limiting problem which is, depending on the input data, either a conventional bipolar electrodiffusion problem or a particular electrodiffusional time-dependent free boundary problem. In both cases, the properties of the limiting solution are analyzed, along with those of the respective boundary and transition layer solutions.

Original languageEnglish
Pages (from-to)637-659
Number of pages23
JournalQuarterly of Applied Mathematics
Volume57
Issue number4
DOIs
StatePublished - 1 Jan 1999

ASJC Scopus subject areas

  • Applied Mathematics

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