4.0 Article

A Regularity Criterion for the 3D Density-Dependent MHD Equations

Journal

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
Volume 52, Issue 2, Pages 241-251

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00574-020-00199-5

Keywords

Density-dependent MHD equations; Regularity criterion; BMO spaces

Categories

Funding

  1. Piano della Ricerca 2016-2018-Linea di intervento 2: Metodi variazionali ed equazioni differenziali
  2. Catania University in Italy
  3. RUDN University Program 5-100

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This paper considers the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R-3, and provides a regularity criterion involving the velocity field in BMO space norm. The work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.
In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R-3, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.

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