Evolution of initially localized perturbations in stratified ionized discs

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13 Scopus citations


A detailed solution of an initial value problem of a vertically localized initial perturbation in rotating magnetized vertically stratified disc is presented. The appropriate linearized magnetohydrodynamics equations are solved by employing the Wentzel-Kramers-Brillouin (WKB) approximation and the results are verified numerically. The eigenfrequencies as well as eigenfunctions are explicitly obtained. It is demonstrated that the initial perturbation remains confined within the disc. It is further shown that thin enough discs are stable but as their thickness grows increasing number of unstable modes participate in the solution of the initial value problem. However, it is demonstrated that due to the localization of the initial perturbation, the growth time of the instability is significantly longer than the calculated inverse growth rate of the individual unstable eigenfunctions.

Original languageEnglish
Pages (from-to)287-293
Number of pages7
JournalMonthly Notices of the Royal Astronomical Society
Issue number1
StatePublished - 1 Jan 2009


  • Accretion, accretion discs
  • Instabilities
  • MHD

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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