ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Mathematical modelling of electrostatic interaction among two identical spheres surrounded by double electric layers

A. O. Syromyasov1, N. V. Eremkina2

AnnotationThe distribution of electric potential in a medium containing two identical spherical particles surrounded by wide double electric layers is discussed. The solution is obtained by using the theory of nonlinear tensor functions and may be generalized on the arbitrary number of particles.
Keywordsdouble electric layer, Poisson -- Boltzmann equation, Helmholtz equation, multipole, asymptotic methods, theory of nonlinear tensor functions

1Associate professor, Department of Applied mathematics, differential equations and theoretical mechanics, Ogarev Mordovia State University, Saransk, syal1@yandex.ru

2Student, Faculty of Mathematics and Information Technologies, Ogarev Mordovia State University, Saransk

Citation: A. O. Syromyasov , N. V. Eremkina, "[Mathematical modelling of electrostatic interaction among two identical spheres surrounded by double electric layers]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:3 (2015) 100–108 (In Russian)