Systematization and analysis of integrals of motion for an incompressible fluid flow
Alexander V. Koptev
Admiral Makarov State University of Maritime and Inland Shipping,
Dvinskaya, 5/7, Saint-Petersburg, 198035,
An analysis of integrals of motion of an incompressible fluid flow both known and new obtained by author are presented in the paper. It was found that the known integrals of Lagrange–Cauchy, Bernoulli and Euler–Bernoulli are special cases of a new more general integral. It was shown that the set of all integrals of motion of an incompressible fluid form a logical chain which can be represented as a tree.
incompressible fluid, motion, Navier–Stokes equations, Euler equations, partial derivative, root integral, stream pseudo-function, potential, tree.
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Received in revised form: 30.09.2017
Alexander V. Koptev, “Systematization and analysis of integrals of motion for an incompressible fluid flow”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 370–382
Citation in format AMSBIB
\paper Systematization and analysis of integrals of motion for an incompressible fluid flow
\jour J. Sib. Fed. Univ. Math. Phys.
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