Skip to main content
SpringerLink
Log in

Description of a potential vector field without sources near null points of higher orders in 3D space

  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

The paper presents the methods describing the behavior of lines of a three-dimensional vector field near null points of order greater than one assuming that the potential of that field satisfies the Laplace equation. Some general analytic solutions are presented for the second order case.

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. S. W. H. Cowley, “A Qualitative Study of the Reconnection Between the Earth’s Magnetic Field and an Interplanetary Field of Arbitrary Orientation,” Radio Sci. 8, 903 (1973).

    Article  Google Scholar 

  2. C. E. Parnell, J. M. Smith, T. Neukirch, and E. R. Priest, “The Structure of Three-Dimensional Magnetic Neutral Points,” Phys. Plasmas 3 (3), 759 (1996).

    Article  MathSciNet  Google Scholar 

  3. A. T. Lukashenko and I. S. Veselovskii, “Geometry of Potential Magnetic Field in Neighborhood of Null Points of 2nd and Higher Orders,” in Proc. All Russia Annual Conf. with Int. Participation “Solar and Solar–Earth Physics 2014” (St. Petersburg, 2014), pp. 263–266.

    Google Scholar 

  4. Yu. D. Zhugzhda, “Neutral (Null) Points of Magnetic Fields,” Geomagnetizm i Aeronomiya 6 (3), 506 (1966).

    Google Scholar 

  5. D. P. Kostomarov, E. Yu. Echkina, I. N. Inovenkov, and S. V. Bulanov, “Simulation of Magnetic Reconnection in 3D Geometry,” Matem. Modelir. 21 (11), 3 (2009).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Skobeltsyn Institute of Nuclear Physics, Leninskie Gory, Moscow, 119991, Russia

    A. T. Lukashenko

Authors
  1. A. T. Lukashenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. T. Lukashenko.

Additional information

Original Russian Text © A.T. Lukashenko, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 4, pp. 18–22.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lukashenko, A.T. Description of a potential vector field without sources near null points of higher orders in 3D space. Moscow Univ. Math. Bull. 71, 146–150 (2016). https://doi.org/10.3103/S0027132216040033

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132216040033

Search

Navigation