MATHEMATICAL THEORIES ON THE CAPILLARY ACTION IN HISTORICAL STUDY (Mathematical Aspects and Applications of Nonlinear Wave Phenomena)

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  • MATHEMATICAL THEORIES ON THE CAPILLARY ACTION IN HISTORICAL STUDY

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Abstract

We discuss the mathematical theory of deduction of the capillary action by Laplace, Gauss, Poisson. These share the common concept of attraction and repulsive force on continuum, which is realized with two constants. The former two are deduce the equations of the capillary surface, and the latter, Poisson confirms the formulae, in another analytical problems. We assert the two constants are used to formulate the equation of the Navier-Stokes equations, due to Laplace' theory of capillarity.

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  • RIMS Kokyuroku

    RIMS Kokyuroku 2076 76-87, 2018-07

    京都大学数理解析研究所

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