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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2012 Volume 170, Number 3, Pages 381–392 (Mi tmf6773)

This article is cited 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

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

DOI: 10.4213/tmf6773


 English version:
Theoretical and Mathematical Physics, 2012, 170:3, 315–325

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© Steklov Math. Inst. of RAS, 2024