Alexander V. Koptev, “Generator of solutions for $2D$ Navier–Stokes equations”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 324

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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 3, Pages 324–330 (Mi jsfu378)

This article is cited in 7 scientific papers (total in 7 papers)

Generator of solutions for

$2D$ Navier–Stokes equations

Alexander V. Koptev

Makarov State University of Maritime and Inland Shipping, Dvinskaya, 5/7, Saint-Petersburg, 198035, Russia

Full-text PDF (129 kB) Citations (7)

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Abstract: 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: viscous incompressible fluid, differential equation, partial derivative, nonlinearity, integral, generator of solutions.

Received: 05.03.2014
Received in revised form: 15.04.2014
Accepted: 25.05.2014

Document Type: Article

UDC: 532.516:517.958

Language: English

Citation: Alexander V. Koptev, “Generator of solutions for

$2D$ Navier–Stokes equations”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 324–330

Citation in format AMSBIB

\Bibitem{Kop14}

\by Alexander~V.~Koptev

\paper Generator of solutions for $2D$ Navier--Stokes equations

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2014

\vol 7

\issue 3

\pages 324--330

\mathnet{http://mi.mathnet.ru/jsfu378}

Linking options:

https://www.mathnet.ru/eng/jsfu378

https://www.mathnet.ru/eng/jsfu/v7/i3/p324

This publication is cited in the following 7 articles:

Ershkov S.V. Rachinskaya A. Prosviryakov E.Yu. Shamin R.V., “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
Alexander V. Koptev, “Exact solution of 3D Navier–Stokes equations”, Zhurn. SFU. Ser. Matem. i fiz., 13:3 (2020), 306–313
Ershkov V S., Shamin V R., “a Riccati-Type Solution of 3D Euler Equations For Incompressible Flow”, J. King Saud Univ. Sci., 32:1 (2020), 125–130
Ershkov V S., Shamin V R., Giniyatullin A.R., “on a New Type of Non-Stationary Helical Flows For Incompressible 3D Navier-Stokes Equations”, J. King Saud Univ. Sci., 32:1 (2020), 459–467
Alexander V. Koptev, “Systematization and analysis of integrals of motion for an incompressible fluid flow”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 370–382
Alexander V. Koptev, “D'Alembert's paradox in near real conditions”, Zhurn. SFU. Ser. Matem. i fiz., 10:2 (2017), 170–180
A. V. Koptev, “Uravneniya Nave–Stoksa. Ot teorii k resheniyu prakticheskikh zadach”, Mezhdunar. nauch.-issled. zhurn., 2016, no. 7-4(49), 86–89

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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