Communications in Mathematical Physics

, Volume 270, Issue 3, pp 691–708 | Cite as

Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations

  • Jishan Fan
  • Song Jiang
  • Gen Nakamura


We study an initial boundary value problem for the equations of plane magnetohydrodynamic compressible flows, and prove that as the shear viscosity goes to zero, global weak solutions converge to a solution of the original equations with zero shear viscosity. As a by-product, this paper improves the related results obtained by Frid and Shelukhin for the case when the magnetic effect is neglected.


Radon Weak Solution Shear Viscosity Magnetic Effect Global Weak Solution 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.College of Information Sciences and TechnologyNanjing Forestry UniversityNanjingP.R. China
  2. 2.Department of MathematicsSuzhou UniversitySuzhouP.R. China
  3. 3.Institute of Applied Physics and Computational MathematicsBeijingP.R. China
  4. 4.Department of MathematicsHokkaido UniversitySapporoJapan

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