Geodesic
Self-similar solutions for the two-dimensional Nernst–Planck–Debye system
Łukasz Paszkowski1
1 Instytut Matematyczny Uniwersytet Wrocławski Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 329-338.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate the two-component Nernst–Planck–Debye system by a numerical study of self-similar solutions using the Runge–Kutta method of order four and comparing the results obtained with the solutions of a one-component system. Properties of the solutions indicated by numerical simulations are proved and an existence result is established based on comparison arguments for singular ordinary differential equations.
DOI : 10.4064/am39-3-7
Keywords: investigate two component nernst planck debye system numerical study self similar solutions using runge kutta method order comparing results obtained solutions one component system properties solutions indicated numerical simulations proved existence result established based comparison arguments singular ordinary differential equations

Łukasz Paszkowski 1

1 Instytut Matematyczny Uniwersytet Wrocławski Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Łukasz Paszkowski. Self-similar solutions for the
 two-dimensional Nernst–Planck–Debye system. Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 329-338. doi : 10.4064/am39-3-7. http://geodesic.mathdoc.fr/articles/10.4064/am39-3-7/

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