Singular solutions of the Euler equations by Clebsch parametrization of Beltrami fields

DOI

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Other Title
  • ベルトラミ場のクレブシュ表現によるオイラー方程式の特異解

Abstract

<p>Beltrami fields arise as stationary solutions of the Euler equations, as well as magnetohydrodynamic equilibria. Using the local theory of representation for Beltrami fields developed in N. Sato and M. Yamada, Physica D: Nonlinear Phenomena, 391, pp. 8-16, 2019, we consider the existence of Beltrami field solutions with given parametrization to the boundary value problem for the stationary Euler equations. First, a theorem is derived on the existence of harmonic orthogonal coordinates. These coordinates, which allow the construction of solenoidal Beltrami equilibria, are then used to discuss the existence of singular solutions to the Euler system. An analytic example in spherical geometry is presented.</p>

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Details 詳細情報について

  • CRID
    1390008156663800064
  • NII Article ID
    130008100859
  • DOI
    10.11345/japannctam.65.0_113
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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