Description of a potential vector field without sources near null points of higher orders in 3D space
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2016), pp. 18-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 case of second order.
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A. T. Lukashenko. Description of a potential vector field without sources near null points of higher orders in 3D space. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2016), pp. 18-22. http://geodesic.mathdoc.fr/item/VMUMM_2016_4_a2/

[1] Cowley S.W.H., “A qualitative study of the reconnection between the Earth's magnetic field and an interplanetary field of arbitrary orientation”, Radio Sci., 8 (1973), 903–913 | DOI

[2] Parnell C.E., Smith J.M., Neukirch T., Priest E.R., “The structure of three-dimensional magnetic neutral points”, Phys. Plasmas., 3:3 (1996), 759–770 | DOI

[3] Lukashenko A.T., Veselovskii I.S., “O geometrii potentsialnogo magnitnogo polya v okrestnostyakh nulevykh tochek 2-go i vysshikh poryadkov”, Tr. Vserossiiskoi ezhegodnoi konferentsii s mezhdunarodnym uchastiem “Solnechnaya i solnechno-zemnaya fizika-2014”, SPb., 2014, 263–266

[4] Zhugzhda Yu.D., “Neitralnye (nulevye) tochki magnitnykh polei”, Geomagnetizm i aeronomiya, 6:3 (1966), 506–511

[5] Kostomarov D.P., Echkina E.Yu., Inovenkov I.N., Bulanov S.V., “Modelirovanie magnitnogo perezamykaniya v trekhmernoi geometrii”, Matem. modelir., 21:11 (2009), 3–15 | Zbl