Complete integrability of a hydrodynamic Navier-Stokes model of the flow in a two-dimensional incompressible ideal liquid with a free surface |
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Authors: | V G Samoilenko U S Suyarov |
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Institution: | (1) Institute of mathematics, Ukrainian Academy of Sciences, Kiev;(2) Samarkand University, USSR |
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Abstract: | We establish the complete integrability of a nonlinear dynamical system associated with the hydrodynamic Navier-Stokes equations for the flow of an ideal two-dimensional liquid with a free surface over the horizontal bottom. We show that this dynamical system is naturally connected with the nonlinear kinetic Boltzmann-Vlasov equation for a one-dimensional flow of particles with a point potential of interaction between particles.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 86–90, January, 1993. |
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