Geodesic
Magnetohydrodynamics with regard to electron inertia: Some exact solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 349-361 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Magnetohydrodynamic (MHD) equations are derived with the finite electron mass taken into account. The low-frequency spectrum of a cold two-component plasma can be described using these equations. In the linear approximation, the MHD equations lead to results coinciding with those of multifluid hydrodynamics. An exact solution to the generalized MHD equations is obtained as a stationary nonlinear wave. A soliton-like solution is found for a wide range of Mach numbers and external magnetic field intensities. 
@article{TMF_1998_116_3_a2,
     author = {I. M. Aleshin},
     title = {Magnetohydrodynamics with regard to electron inertia: {Some} exact solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {349--361},
     year = {1998},
     volume = {116},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a2/}
}
TY  - JOUR
AU  - I. M. Aleshin
TI  - Magnetohydrodynamics with regard to electron inertia: Some exact solutions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 349
EP  - 361
VL  - 116
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a2/
LA  - ru
ID  - TMF_1998_116_3_a2
ER  - 
%0 Journal Article
%A I. M. Aleshin
%T Magnetohydrodynamics with regard to electron inertia: Some exact solutions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 349-361
%V 116
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a2/
%G ru
%F TMF_1998_116_3_a2
I. M. Aleshin. Magnetohydrodynamics with regard to electron inertia: Some exact solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 349-361. http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a2/

[1] G. P. Zank et al., J. Geophys. Res., 97(A11) (1992), 17051 | DOI

[2] A. I. Akhiezer i dr., Elektrodinamika plazmy, Nauka, M., 1974 | Zbl

[3] P. Thompson, D. J. Southwood, S. Goodman, J. Geophys. Res., 101(A9) (1996), 19849 | DOI

[4] L. S. Kuzmenkov, TMF, 86:2 (1991), 231 | MR

[5] M. A. Drofa, L. S. Kuzmenkov, TMF, 108:1 (1996), 3 | DOI | Zbl

[6] M. A. Drofa, L. S. Kuzmenkov, S. G. Maksimov, Vestn. MGU, Fizika, 1997, no. 3, 12

[7] V. P. Silin, Vvedenie v kineticheskuyu teoriyu gazov, Nauka, M., 1971

[8] Bai Shi-i, Magnitnaya gazodinamika i dinamika plazmy, Mir, M., 1964

[9] S. R. De Groot, L. G. Sattorp, Elektrodinamika, Mir, M., 1972

[10] L. D. Landau, E. M. Lifshits, Gidrodinamika, Nauka, M., 1988 | MR

[11] V. S. Krivitskii, S. V. Vladimirov, ZhETF, 101:5 (1992), 1510

[12] I. M. Aleshin, M. A. Drofa, L. S. Kuzmenkov, J. Plasma Phys., 51 (1994), 177 | DOI