References
Casetta, L., Pesce, C.P.: Hamilton’s principle for dissipative systems and Wagner’s problem. In: 22nd International Workshop on Water Waves and Floating Bodies, Plitvice, Croatia (2007)
Finlayson B.A.: The Method of Weighted Residuals and Variational Principles, chap. 8. Academic Press, London (1972)
Irschik H., Holl H.J.: Mechanics of variable-mass systems—part 1: Balance of mass and linear momentum. Appl. Mech. Rev. 57(2), 145–160 (2004)
Irschik H., Holl H.J.: The equations of Lagrange written for a non-material volume. Acta Mech. 153, 231–248 (2002)
Korobkin A., Pukhnachov V.V.: Initial stage of water impact. Ann. Rev. Fluid Mech. 20, 159–185 (1988)
Lin, C.C.: Liquid helium. In: Proceedings of the International School of Physics, Course XXI. Academic Press, NY (1963)
Luke J.C.: A variational principle for a fluid with a free surface. J. Fluid Mech. 27, 395–397 (1967)
McIver D.B.: Hamilton’s principle for systems of changing mass. J. Eng. Math. 7(3), 249–261 (1973)
Miles, J.W.: Hamiltonian formulations for surface waves. Appl. Sci. Res. (37), 103–110 (1981)
Miloh T.: Hamilton’s principle, Lagrange’s method, and ship motion theory. J. Ship Res. 28(4), 229–237 (1984)
Pesce, C.P.: A Note on the Classical Free Surface Hydrodynamic Impact Problem. Advances in Engineering Mechanics, Reflections and Outlooks, 390–407. World Scientific Publishing Co. In honor of Theodore Y.-T. Wu, Allen Chwang, Michelle H. Teng, Daniel T. Valentine (2005)
Seliger R.E., Whitham G.B.: Variational principles in continuum mechanics. Proc. R. Soc. Lond. A 305, 1–25 (1968)
Serrin, J.: Handbuch der Physik 8/1 (1959)
Truesdell, C., Toupin, R.A.: Handbuch der Physik 3/1 (1960)
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Casetta, L., Pesce, C.P. On Seliger and Whitham’s variational principle for hydrodynamic systems from the point of view of ‘fictitious particles’. Acta Mech 219, 181–184 (2011). https://doi.org/10.1007/s00707-010-0442-2
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DOI: https://doi.org/10.1007/s00707-010-0442-2