Bounds on complex eigenvalues in a hydromagnetic stability problem

Abstract

We consider an eigenvalue problem of hydromagnetic stability and obtain instability regions within which the complex eigenvalues corresponding to unstable modes should lie.

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Funding

The first author’s work was supported by CSIR-Junior Research Fellowship with Award number: 09/559(0134)/2019-EMR-I which is acknowledged.

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Correspondence to S. Prakash.

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The authors declare no conflict of interest in this work.

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Communicated by Samy Ponnusamy.

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Prakash, S., Subbiah, M. Bounds on complex eigenvalues in a hydromagnetic stability problem. J Anal (2021). https://doi.org/10.1007/s41478-020-00301-6

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Keywords

  • Complex eigenvalues
  • Linear stability
  • Hydromagnetics
  • Swirl
  • Coaxial cylinders

Mathematics Subject Classification

  • 76E