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Symetria przepływów jonowych

Kucharczyk A., Kubik J.

Roczniki Inżynierii Budowlanej

2008

z. 8

41--44

The symmetry of equations of mass and electrical charge was analyzed. From these equations the correlation of the flows of mass and ions in the porous medium was estimated. This expression can be used to determine the coefficient of conductivity of ions in porous medium.

On symmetries of integro-differential equations

Zawistowski Z.J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 2

187-197

A new, general method is presented for the determination of Lie symmetry groups of integro-differential equations. The exhibited method is a natural extension of the famous Ovsiannikov method developed for differential equations. The method leads to significant applications for instance to the Vlasov-Maxwell equations, which are integro-differential type irreducible to differential equations.