Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICCA.2010.5524264
Title: The singular perturbation analysis for one-dimensional poisson-nernst- planck equation
Authors: Shi, X.
Le, J.
Qin, K. 
Zheng, Y.
Issue Date: 2010
Source: Shi, X.,Le, J.,Qin, K.,Zheng, Y. (2010). The singular perturbation analysis for one-dimensional poisson-nernst- planck equation. 2010 8th IEEE International Conference on Control and Automation, ICCA 2010 : 964-967. ScholarBank@NUS Repository. https://doi.org/10.1109/ICCA.2010.5524264
Abstract: We investigate the qualitative property for one-dimensional steady-state Poisson-Nernst-Equation by matched asymptotic expansions, and find that the inner solution is the Weierstrass's elliptic function, so the inner and outer solutions are not matched at the boundary layer. Therefore, perhaps the long channel limit is not suitable for actual problem, otherwise this prompts us to try the other asymptotic expansions method. © 2010 IEEE.
Source Title: 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
URI: http://scholarbank.nus.edu.sg/handle/10635/71997
ISBN: 9781424451951
DOI: 10.1109/ICCA.2010.5524264
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