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On the Minimum Energy Configuration of a Rotating Barotropic Fluid

2002/08/07 by Ramesh Narayan, Narayan, Ramesh, J. E. Pringle +2
Engineering · Environmental Science · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Fluid dynamics and aerodynamics studies #Methane Hydrates and Related Phenomena #Spacecraft and Cryogenic Technologies #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0208161

4 pages; not submitted to any journal

arxiv created 2002/08/07 · openalex publication_date 2002/08/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent paper (astro-ph/0207561, posted on July 25, 2002), Fromang & Balbus state that ``a uniformly rotating barotropic fluid in an external potential attains a true energy minimum if and only if the rotation profile is everywhere subsonic. If regions of supersonic rotation are present, fluid variations exist that could take the system to states of lower energy.'' We present a simple counter-example which demonstrates that the stablity criterion presented by Fromang & Balbus is incorrect.

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