Abstract:
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.
\Bibitem{Kop20}
\by Alexander~V.~Koptev
\paper Exact solution of 3D Navier--Stokes equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 3
\pages 306--313
\mathnet{http://mi.mathnet.ru/jsfu840}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-3-306-313}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540327900005}
Linking options:
https://www.mathnet.ru/eng/jsfu840
https://www.mathnet.ru/eng/jsfu/v13/i3/p306
This publication is cited in the following 3 articles:
A. V. Koptev, “Construction of a New Solution to the Navier–Stokes Equations from Two Known Solutions”, J Math Sci, 270:4 (2023), 562
S. V. Ershkov, A. Rachinskaya, E. Yu. Prosviryakov, R. V. Shamin, “On the semi-analytical solutions in hydrodynamics of ideal fluid flows governed by large-scale coherent structures of spiral-type”, Symmetry-Basel, 13:12 (2021), 2307
A. V. Koptev, “Integral of the Euler Equations for 3D Motion of a Compressible Medium”, J Math Sci, 255:6 (2021), 679
Citation in format AMSBIB
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