About general solutions of Euler’s and Navier-Stokes equations
Constructing a general solution to the Navier-Stokes equation is a fundamental problem of current fluid mechanics and mathematics due to nonlinearity occurring when moving to Euler’s variables. A new transition procedure is proposed without appearing nonlinear terms in the equation, which makes it possible constructing a general solution to the Navier-Stokes equation as a combination of general solutions to Laplace’s and diffusion equations. Existence, uniqueness, and smoothness of the solutions to Euler's and Navier-Stokes equations are found out with investigating solutions to the Laplace and diffusion equations well-studied.
Key words: Euler’s and Navier-Stokes equations, general solutions.
Pages of the article in the issue: 190-193
Language of the article: Ukrainian
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KOCHIN, N.E., KIBEL, I.A. and ROZE, N.V. (1963) Teoreticheskaia gidromechanika. v.1,2, Moskva: Fizmatgiz.
SEDOV, L.I. (1970) Mechanika splochnoi sredi. v.1,2, Moskow: Fizmatgiz.
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