Waves and Shocks in Magnetohydrodynamical Fluids

  • Shoji Kato
  • Jun Fukue
Part of the Astronomy and Astrophysics Library book series (AAL)


As mentioned in Sect.  11.3, magnetic fields have tension. Hence, it will be easily supposed that when a line of force is shaked, a perturbation is transported along the line. This is really shown by Alfvén, and the wave is called Alfvén wave. The pure Alfvén wave is a transverse wave. However, fluids are compressible gases and pressure perturbations can coexist. Hence, in general situations wavy perturbations can have both characteristics of transverse and longitudinal waves. In this chapter we describe basic characteristics of MHD waves in homogeneous MHD fluids. MHD shock waves are also described.


  1. Landau, L.D., Lifshitz, E.M.: Electrodynamics of Continuous Media. Pergamon Press, Oxford (1960)zbMATHGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Shoji Kato
    • 1
  • Jun Fukue
    • 2
  1. 1.Kyoto UniversityKyotoJapan
  2. 2.Division of Science EducationOsaka Kyoiku UniversityKashiwaraJapan

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