FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 583-596

Spectral problems associated with stability of fluid motion in an annulus in a magnetic field

I. A. Sheipak

Abstract

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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.

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Last modified: October 31, 2001.