Limiting current singularities in electro diffusion

C. Dubi

doi:10.1090/qam/1976373

Limiting current singularities in electro diffusion

C. Dubi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper concerns the phenomenon of limiting current in the local electro neutrality approximation of electrodiffusion. The limiting current is the value of the control parameter, the electric current, for which the straightforward split of an electrodiffusional system into a quasi-electro-neutral bulk and charged boundary (electric double) layer valid near the equilibrium is no longer expected to stand. Singularities in the solution appearing at the limiting current are studied.

Original language	English
Pages (from-to)	329-335
Number of pages	7
Journal	Quarterly of Applied Mathematics
Volume	61
Issue number	2
DOIs	https://doi.org/10.1090/qam/1976373
State	Published - 1 Jan 2003

ASJC Scopus subject areas

Applied Mathematics

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10.1090/qam/1976373

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title = "Limiting current singularities in electro diffusion",

abstract = "This paper concerns the phenomenon of limiting current in the local electro neutrality approximation of electrodiffusion. The limiting current is the value of the control parameter, the electric current, for which the straightforward split of an electrodiffusional system into a quasi-electro-neutral bulk and charged boundary (electric double) layer valid near the equilibrium is no longer expected to stand. Singularities in the solution appearing at the limiting current are studied.",

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AB - This paper concerns the phenomenon of limiting current in the local electro neutrality approximation of electrodiffusion. The limiting current is the value of the control parameter, the electric current, for which the straightforward split of an electrodiffusional system into a quasi-electro-neutral bulk and charged boundary (electric double) layer valid near the equilibrium is no longer expected to stand. Singularities in the solution appearing at the limiting current are studied.

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Limiting current singularities in electro diffusion

Abstract

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