Skip to main content
SpringerLink
Log in

Ellipsoid flowed around by a harmonic vector field

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We consider the screening of an external magnetic field in which a superconducting ellipsoid is inserted and a change in the velocity distribution in an ideal liquid flowing around an ellipsoid inserted in it. In both cases, the solution is given by a harmonic vector field parallel to the surface near the ellipsoid.

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.

Similar content being viewed by others

References

  1. E. Heine, J. Reine Angew. Math., 1843, No. 26, 185–216 (1843).

    Article  Google Scholar 

  2. H. Lamb, Hydrodynamics, Cambridge Univ. Press, Cambridge (1993).

    MATH  Google Scholar 

  3. L. D. Landau and E. M. Lifshitz, Theoretical Physics [in Russian], Vol. 8, Electrodynamics of Continuous Media, Nauka, Moscow (1992); English transl. (2nd ed., rev. and enl. by E. M. Lifshitz and L. P. Pitaevskii), Pergamon, Oxford (1984).

    Google Scholar 

  4. A. Erdelyi, Commun. Pure Appl. Math., 9, 403–414 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  5. A. O. Savchenko and O. Ya. Savchenko, Technical Physics, 52, 950–953 (2007).

    Article  ADS  Google Scholar 

  6. J. Orear, Physics, MacMillan, New York (1979).

    Google Scholar 

  7. A. O. Savchenko, A. Ya. Savchenko, and O. Ya. Savchenko, “Mathematical model of movement of an axially symmetric conducting body in a coaxial magnetic field [in Russian],” in: Materials of the International Scientific Conference “Modeling and Information Technologies” (12–14 May 2010, Kiev, Ukraine), Izd-vo IPMÉ NAN Ukrainy, Kiev (2010), p. 115–123.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Computational Mathematics and Mathematical Geophysics, Siberian Branch, RAS, Novosibirsk, Russia

    A. O. Savchenko

  2. Novosibirsk State University, Novosibirsk, Russia

    O. Ya. Savchenko

Authors
  1. A. O. Savchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Ya. Savchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. O. Savchenko.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 3, pp. 381–392, March, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Savchenko, A.O., Savchenko, O.Y. Ellipsoid flowed around by a harmonic vector field. Theor Math Phys 170, 315–325 (2012). https://doi.org/10.1007/s11232-012-0032-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-012-0032-7

Keywords

Search

Navigation