Skip to main content
SpringerLink
Log in

Application of a conformal-mapping technique to a boundary-value problem of current distribution in plain conductors

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Using the conformal-mapping technique, we have found analytical solutions of the current-distribution problem for different configurations of plain conductors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York (1970).

    Google Scholar 

  2. V. I. Ivanov and V. Yu. Popov, Conformal Maps and Their Applications [in Russian], Editorial URSS, Moscow (2002).

  3. M. A. Lavrent’ev and B. V. Shabat, Methods for the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1987).

    MATH  Google Scholar 

  4. L. M. Milne-Thomson, Theoretical Hydrodynamics, St. Martin’s Press, New York (1960).

    MATH  Google Scholar 

  5. W. R. Smythe, Static and Dynamic Electricity, McGraw-Hill, New York (1950).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    T. N. Gerasimenko, V. I. Ivanov, P. A. Polyakov & Yu. V. Popov

Authors
  1. T. N. Gerasimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. A. Polyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yu. V. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. N. Gerasimenko.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 6, pp. 3–14, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerasimenko, T.N., Ivanov, V.I., Polyakov, P.A. et al. Application of a conformal-mapping technique to a boundary-value problem of current distribution in plain conductors. J Math Sci 172, 761–769 (2011). https://doi.org/10.1007/s10958-011-0219-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-011-0219-8

Keywords

Search

Navigation