Geodesic
Generator of solutions for $2D$ Navier--Stokes equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 324-330

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On the paper under consideration the investigation of Navier–Stokes equations for $2D$ viscous incompressible fluid flow is present. An analysis is based on the first integral of these equations. It is revealed that all ratios are reduced to one governing equation which can be considered as a generator of solutions.
Keywords: differential equation, partial derivative, nonlinearity, integral, generator of solutions.
Mots-clés : viscous incompressible fluid 
@article{JSFU_2014_7_3_a6,
     author = {Alexander V. Koptev},
     title = {Generator of solutions for $2D$ {Navier--Stokes} equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {324--330},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a6/}
}
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Alexander V. Koptev. Generator of solutions for $2D$ Navier--Stokes equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 324-330. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a6/