A note on the regularity condition for ideal magneto-hydrodynamic equations

DOI
  • Ohkitani Koji
    Research Institute for Mathematical Sciences, Kyoto University

Bibliographic Information

Other Title
  • 理想磁気流体力学方程式の解の正則性条件について

Abstract

The regularity condition for ideal magneto-hydrodynamic equationsis given by Caflisch, Klapper and Steele(1997), in analogy with the well-known Beale-Kato-Majda criterion for the Euler equations.Roughly speaking, it states that bothvorticity and current (that is, a curl of magnetic field)should be finite, then no singularity will develop in the solutions.Here we note by an elementary argument that actually if the magneticfiled is smooth, then the solution remains regular.This is shown by taking into account another first integral related withcross-helicity.

Journal

Details

  • CRID
    1390282680570188288
  • NII Article ID
    130005020378
  • DOI
    10.11345/japannctam.55.0.215.0
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top