Abstract
Thomson W. and Tait P. were the first who applied the Hamilton principle to the fluid [1,2]
Where δn is the virtual displacement of fluid flow boundary ∂Ω, the integral represents the work of the force of fluid pressure p on the displacement δn, L is the functional of the boundary and the normal velocity (the Lagrange function).
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© 1992 Springer Basel AG
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Petrov, A.G. (1992). Incompressible Fluid Flows with Free Boundary and the Methods for their Research. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_28
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DOI: https://doi.org/10.1007/978-3-0348-8627-7_28
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