Geodesic
Spectral problems associated with stability of fluid motion in an annulus in a magnetic field
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 583-596

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This paper investigates spectral and basis property of operator pencil connected with the problem of stability of an axisymmetrically perturbed fluid motion in vertical annulus in the presence of vertical magnetic field. It is proved that eigenfunctions of this pencil form a Bari basis in the corresponding Hilbert space. 
@article{FPM_2001_7_2_a14,
     author = {I. A. Sheipak},
     title = {Spectral problems associated with stability of fluid motion in an annulus in a magnetic field},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {583--596},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a14/}
}
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I. A. Sheipak. Spectral problems associated with stability of fluid motion in an annulus in a magnetic field. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 583-596. http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a14/