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.
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© 1979 Springer-Verlag New York Inc.
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Chorin, A.J., Marsden, J.E. (1979). The Equations of Motion. In: A Mathematical Introduction to Fluid Mechanics. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0082-3_1
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DOI: https://doi.org/10.1007/978-1-4684-0082-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90406-1
Online ISBN: 978-1-4684-0082-3
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