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TMF, 2012, Volume 170, Number 3, Pages 381–392 (Mi tmf6773)  
This article is cited in 4 scientific papers (total in 4 papers)

Ellipsoid flowed around by a harmonic vector field

A. O. Savchenkoa, O. Ya. Savchenkob

a Institute for Computational Mathematics and Mathematical Geophysics, Siberian Branch, RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

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.

Keywords: magnetic field, superconductivity, ellipsoid, surface current, velocity, ideal liquid, polynomial

DOI: https://doi.org/10.4213/tmf6773

Full text: PDF file (359 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 170:3, 315–325

Bibliographic databases:

Received: 03.02.2011
Revised: 27.06.2011

Citation: A. O. Savchenko, O. Ya. Savchenko, “Ellipsoid flowed around by a harmonic vector field”, TMF, 170:3 (2012), 381–392; Theoret. and Math. Phys., 170:3 (2012), 315–325

Citation in format AMSBIB
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\paper Ellipsoid flowed around by a~harmonic vector field
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\pages 381--392
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\crossref{https://doi.org/10.1007/s11232-012-0032-7}
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  • https://doi.org/10.4213/tmf6773
  • http://mi.mathnet.ru/eng/tmf/v170/i3/p381

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. O. Savchenko, O. Ya. Savchenko, “Osesimmetrichnoe provodyaschee telo v soosnom elektricheskom pole”, Zh. vychisl. matem. i matem. fiz., 53:4 (2013), 675–684  mathnet  crossref  elib
    2. A. O. Savchenko, “Functions orthogonal to polynomials and their application in axially symmetric problems in physics”, Theoret. and Math. Phys., 179:2 (2014), 574–587  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. A. O. Savchenko, O. Ya. Savchenko, “Conducting axisymmetric body in a coaxial varying magnetic field”, Tech. Phys., 59:1 (2014), 16–25  crossref  isi  scopus
    4. A. O. Savchenko, “Matrix of moments of the Legendre polynomials and its application to problems of electrostatics”, Comput. Math. Math. Phys., 57:1 (2017), 175–187  mathnet  crossref  crossref  isi  elib
    		• Теоретическая и математическая физика Theoretical and Mathematical Physics
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