Standard and Helical Magnetorotational Instability

Oleg Kirillov, Frank Stefani

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

The magnetorotational instability (MRI) triggers turbulence and enables outward transport of angular momentum in hydrodynamically stable rotating shear flows, e.g., in accretion disks. What laws of differential rotation are susceptible to the destabilization by axial, azimuthal, or helical magnetic field? The answer to this question, which is vital for astrophysical and experimental applications, inevitably leads to the study of spectral and geometrical singularities on the instability threshold. The singularities provide a connection between seemingly discontinuous stability criteria and thus explain several paradoxes in the theory of MRI that were poorly understood since the 1950s.
Original languageEnglish
Pages (from-to)177-198
JournalActa Applicandae Mathematicae
Volume120
Issue number1
Early online date16 Feb 2012
DOIs
Publication statusE-pub ahead of print - 16 Feb 2012

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