Article

    Ufa Mathematical Journal
    Volume 7, Number 3, pp. 15-27

    On asymptotic formula for electric resistance of conductor with small contacts


    Ershov A.A., Gadyl'shin R.R., Repyevsky S.V.

    DOI:10.13108/2015-7-3-15

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    We construct and justify rigorously the complete asymptotic expansion for the electric resistance of a three-dimensional resistance connected by two small contacts of arbitrary shape. We obtain explicit formulae for the first two terms in the asymptotics generalizing the classical Holm formula of one-term asymptotics for two small round contacts of same radius.