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

• Autorzy: Łukasz Paszkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J60: Nonlinear elliptic equations
• 35K40: Second-order parabolic systems
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 3
• Strony: 329-338

Daty

wydano

2012

Twórcy

autor

Łukasz Paszkowski

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am39-3-7