Self-similar solutions for the two-dimensional Nernst-Planck-Debye system

Łukasz Paszkowski. "Self-similar solutions for the two-dimensional Nernst-Planck-Debye system." Applicationes Mathematicae 39.3 (2012): 329-338. <http://eudml.org/doc/280020>.

@article{ŁukaszPaszkowski2012,
abstract = {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.},
author = {Łukasz Paszkowski},
journal = {Applicationes Mathematicae},
keywords = {Runge-Kutta method; Keller-Siegel model; comparison arguments},
language = {eng},
number = {3},
pages = {329-338},
title = {Self-similar solutions for the two-dimensional Nernst-Planck-Debye system},
url = {http://eudml.org/doc/280020},
volume = {39},
year = {2012},
}

TY - JOUR
AU - Łukasz Paszkowski
TI - Self-similar solutions for the two-dimensional Nernst-Planck-Debye system
JO - Applicationes Mathematicae
PY - 2012
VL - 39
IS - 3
SP - 329
EP - 338
AB - 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.
LA - eng
KW - Runge-Kutta method; Keller-Siegel model; comparison arguments
UR - http://eudml.org/doc/280020
ER -