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Determining the equilibrium form of a liquid subject to gravity forces and surface tension

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References

  1. M. A. Belyaeva, A. D. Myshkis, and A. D. Tyuptsov, “Hydrostatics in weak gravity fields; Equilibrium forms of a liquid surface”, Izv. AN SSSR, Mekhanika i mashinostroenie, no. 5, 1964.

  2. A. D. Tyuptsov, “Hydrostatics in weak force fields. Stability of equilibrium forms of a liquid surface”, Izv. AN SSSR, Mekhanika zhidkosti i gaza [Fluid Dynamics], no. 2, 1966.

  3. N. N. Moiseev and F. L. Chernous'ko, “Problems of oscillations of a liquid subject to surface tension forces”, Zh. vychislit. matem. i matem. fiz., vol, 5, no. 6, 1965.

  4. N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Body with Cavities Containing a liquid [in Russian], Izd-vo Nauka, 1965.

  5. F. L. Chernous'ko, “Method of local variations for numerical solution of variational problems”, Zh. vychislit. matem. i matem. fiziki, vol. 5, no. 4, 1965.

  6. A. A. Petrov, “Variational formulation of the problem of liquid motion in a vessel of finite dimensions”, PMM, vol. 28, no. 4, 1964.

  7. V. I. Smirnov, Course in Higher Mathematics [in Russian], vol. 4, Fizmatgiz, 1958.

  8. N. V. Banichuk, V. M. Petrov, and F. L. Chernous'ko, “Numerical solution of variational and boundary value problems using the local variation method”, Zh. vychislit. matem. i matem. fiziki, vol. 6, no. 6, 1966.

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Petrov, V.M., Chernous'ko, F.L. Determining the equilibrium form of a liquid subject to gravity forces and surface tension. Fluid Dyn 1, 109–112 (1966). https://doi.org/10.1007/BF01022169

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