Geodesic
Systematization and analysis of integrals of motion for an incompressible fluid flow
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 370-382

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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.
Keywords: Navier–Stokes equations, partial derivative, root integral, stream pseudo-function, potential, tree.
Mots-clés : incompressible fluid, motion, Euler equations 
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     author = {Alexander V. Koptev},
     title = {Systematization and analysis of integrals of motion for an incompressible fluid flow},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a13/}
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Alexander V. Koptev. Systematization and analysis of integrals of motion for an incompressible fluid flow. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 370-382. http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a13/