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The Equations of Motion

  • A. J. Chorin
  • J. E. Marsden
Part of the Universitext book series (UTX)

Abstract

In this chapter we develop the basic equations of fluid mechanics. These equations are derived from the conservation laws of mass, momentum and energy. We begin with the simplest assumptions, leading to Euler’s equations for a perfect fluid. These assumptions are relaxed in the third section to allow for viscous effects which arise from the molecular transport of momentum. Throughout the book we emphasize the intuitive and mathematical aspects of vorticity; this job is begun in the second section of this chapter.

Keywords

Viscous Flow Incompressible Flow Vortex Line Vortex Tube Divergence Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • A. J. Chorin
    • 1
  • J. E. Marsden
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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