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Grebenev, Vladimir N.

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Author ID: grebenev.vladimir-n Recent zbMATH articles by "Grebenev, Vladimir N."
Published as: Grebenev, V. N.; Grebenev, Vladimir N.; Grebenëv, V. N.; Grebenev, V.
Documents Indexed: 50 Publications since 1983
Reviewing Activity: 1,064 Reviews

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 48 times in 32 Documents Cited by Year
Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678
Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N.
6
2014
Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis. Zbl 1304.35546
Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B.; Schwab, I. V.; Chirkunov, Yu A.
5
2014
Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024
Grebenev, Vladimir N.; Oberlack, Martin
5
2011
A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072
Grebenev, V. N.; Oberlack, M.
4
2005
A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027
Grebenev, Vladimir N.; Oberlack, Martin
4
2009
A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035
Grebenev, V. N.; Oberlack, M.
4
2012
Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038
Grebenev, V. N.; Oberlack, M.
4
2007
Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096
Nazarenko, S. V.; Grebenev, V. N.
2
2017
Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. Zbl 1350.76024
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N.
2
2013
On a certain system of degenerate parabolic equations which arises in hydrodynamics. Zbl 0861.35079
Grebenëv, V. N.
2
1994
Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032
Grebenev, Vladimir N.; Medvedev, Sergeĭ B.
1
2015
Steady states in Leith’s model of turbulence. Zbl 1349.76091
Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V.
1
2016
The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073
Frewer, M.; Oberlack, M.; Grebenev, V. N.
1
2014
Invariant sets and explicit solutions to a third-order model for the shearless stratified turbulent flow. Zbl 1034.35111
Grebenev, V. N.; Ilyushin, B. B.
1
2002
Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065
Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun
1
2010
Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N.
1
2008
The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. Zbl 1350.76023
Grebenev, V. N.; Grishkov, A. N.; Oberlack, M.
1
2013
Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065
Wacławczyk, M.; Grebenev, V. N.; Oberlack, M.
1
2017
Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type. Zbl 0874.35060
Grebenev, Vladimir N.
1
1996
The use of differential constraints for analyzing turbulence models. Zbl 1010.76044
Grebenev, V. N.; Ilyushin, B. B.; Shokin, Yu. I.
1
2000
Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096
Nazarenko, S. V.; Grebenev, V. N.
2
2017
Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065
Wacławczyk, M.; Grebenev, V. N.; Oberlack, M.
1
2017
Steady states in Leith’s model of turbulence. Zbl 1349.76091
Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V.
1
2016
Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032
Grebenev, Vladimir N.; Medvedev, Sergeĭ B.
1
2015
Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678
Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N.
6
2014
Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis. Zbl 1304.35546
Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B.; Schwab, I. V.; Chirkunov, Yu A.
5
2014
The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073
Frewer, M.; Oberlack, M.; Grebenev, V. N.
1
2014
Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. Zbl 1350.76024
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N.
2
2013
The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. Zbl 1350.76023
Grebenev, V. N.; Grishkov, A. N.; Oberlack, M.
1
2013
A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035
Grebenev, V. N.; Oberlack, M.
4
2012
Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024
Grebenev, Vladimir N.; Oberlack, Martin
5
2011
Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065
Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun
1
2010
A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027
Grebenev, Vladimir N.; Oberlack, Martin
4
2009
Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N.
1
2008
Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038
Grebenev, V. N.; Oberlack, M.
4
2007
A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072
Grebenev, V. N.; Oberlack, M.
4
2005
Invariant sets and explicit solutions to a third-order model for the shearless stratified turbulent flow. Zbl 1034.35111
Grebenev, V. N.; Ilyushin, B. B.
1
2002
The use of differential constraints for analyzing turbulence models. Zbl 1010.76044
Grebenev, V. N.; Ilyushin, B. B.; Shokin, Yu. I.
1
2000
Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type. Zbl 0874.35060
Grebenev, Vladimir N.
1
1996
On a certain system of degenerate parabolic equations which arises in hydrodynamics. Zbl 0861.35079
Grebenëv, V. N.
2
1994

Citations by Year