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Poisson–Nernst–Planck Systems for Narrow Tubular-Like Membrane Channels.
- Source :
-
Journal of Dynamics & Differential Equations . Sep2010, Vol. 22 Issue 3, p413-437. 25p. - Publication Year :
- 2010
-
Abstract
- We study global asymptotic behavior of Poisson–Nernst–Planck (PNP) systems for flow of two ion species through a narrow tubular-like membrane channel. As the radius of the cross-section of the three-dimensional tubular-like membrane channel approaches zero, a one-dimensional limiting PNP system is derived. This one-dimensional limiting system differs from previously studied one-dimensional PNP systems in that it encodes the defining geometry of the three-dimensional membrane channel. To justify this limiting process, we show that the global attractors of the three-dimensional PNP systems are upper semi-continuous as the radius of the channel tends to zero. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 22
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 53505904
- Full Text :
- https://doi.org/10.1007/s10884-010-9186-x