Abstract
In this chapter, water is assumed to be an inviscid, incompressible fluid. Body force is the earth’s gravity. From section 2.1.2, the conservation of mass and momentum yields {fy(3.1.1)|54-1} {fy(3.1.2)|54-1} {fy(3.1.3)|54-1} {fy(3.1.4)|54-1} These equations are valid in the fluid domain and are called the Euler equations. Here (u, v, w) = u is the velocity field, ρ is the density, p denotes pressure, and g is the gravitational acceleration (see Fig. 3.1).
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References
J. J. Stoker (1957), Water Waves: the Mathematical Theory with applications, Interscience, New York.
G. B. Whitham (1974), Linear and Nonlinear Waves, John Wiley, New York, Chapter 13.
M. E. Gurtin (1975), On the breaking of water waves on a sloping beach of arbitrary shape, Q. Appl. Math. 33, 187–189.
M. C. Shen and R. E. Meyer (1963), Climb of a bore on a beach, J. Fluid Mech. 16, 113–126.
J. L. Hammack and H. Segur (1974), The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments, J. Fluid Mech. 65, 289–314.
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© 1993 Springer Science+Business Media Dordrecht
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Shen, S.S. (1993). Water Waves. In: A Course on Nonlinear Waves. Nonlinear Topics in the Mathematical Sciences, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2102-6_3
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DOI: https://doi.org/10.1007/978-94-011-2102-6_3
Publisher Name: Springer, Dordrecht
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