Geodesic
Exact solution of 3D Navier--Stokes equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 306-313

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Procedure for constructing exact solutions of 3D Navier–Stokes equations for an incompressible fluid flow is proposed. It is based on the relations representing the previously obtained first integral of the Navier–Stokes equations. A primary generator of particular solutions is proposed. It is used to obtain new classes of exact solutions.
Keywords: integral, primary generator of solutions
Mots-clés : incompressible fluid, motion, equation, exact solution. 
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     author = {Alexander V. Koptev},
     title = {Exact solution of {3D} {Navier--Stokes} equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {306--313},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_3_a4/}
}
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Alexander V. Koptev. Exact solution of 3D Navier--Stokes equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 306-313. http://geodesic.mathdoc.fr/item/JSFU_2020_13_3_a4/