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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 381–392
DOI: https://doi.org/10.4213/tmf6773
(Mi tmf6773)
 

This article is cited in 8 scientific papers (total in 8 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
Full-text PDF (359 kB) Citations (8)
References:
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.
Received: 03.02.2011
Revised: 27.06.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 315–325
DOI: https://doi.org/10.1007/s11232-012-0032-7
Bibliographic databases:
Document Type: Article
Language: Russian
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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Linking options:
  • https://www.mathnet.ru/eng/tmf6773
  • https://doi.org/10.4213/tmf6773
  • https://www.mathnet.ru/eng/tmf/v170/i3/p381
  • This publication is cited in the following 8 articles:
    1. Alexander Savchenko, “The force of action on a superconducting ball of an arbitrary radius of an axisymmetric magnetic field”, J Supercond Nov Magn, 36:5 (2023), 1291  crossref
    2. Alexander Savchenko, “Force Acting on a Superconducting Ball in an Axisymmetric Magnetic Field”, J Supercond Nov Magn, 35:6 (2022), 1445  crossref
    3. Savchenko A.O., “The Magnetic Moment of a Superconducting Ball in a Axisymmetric Magnetic Field”, J. Supercond. Nov. Magn, 34:8 (2021), 2041–2045  crossref  mathscinet  isi
    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
    5. A. O. Savchenko, O. Ya. Savchenko, “Conducting object in the presence of a variable magnetic field”, Tech. Phys., 60:7 (2015), 952  crossref
    6. 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
    7. 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
    8. 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
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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