Basic Equations for Hydrodynamics

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


Hydrodynamical equations are usually derived from the Boltzmann equation. In this chapter, however, assuming continuous hydrodynamical systems from the beginning, we summarize the basic set of hydrodynamical equations. There are two ways to describe hydrodynamical motions. One is the Eulerian description and the other is the Lagrangian one. Each one has merits and demerits. In this chapter both descriptions are presented, and basic characteristics of fluid motions described by these descriptions are summarized. A derivation from the Boltzmann equation is made in Chap. 10 as a part of derivation of hydromagnetic fluid equations.


  1. Lynden-Bell, D., Ostriker, J.P.: Mon. Not. Roy. Astron. Soc. 136, 293 (1967)ADSCrossRefGoogle Scholar

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© 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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