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Grebenev, Vladimir Nikolaevich

Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 16

Number of views:
This page:443
Abstract pages:2332
Full texts:743
References:329
Senior Researcher
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 15.03.1957
E-mail:
Keywords: isotropic homogeneous turbulence; riemannian metrics; correlation tensor.
UDC: 517.95, 517.946

Subject:

Mathematical methods in turbulence.

   
Main publications:
  1. V. Grebenev, M. Oberlack, A. Grishkov, “Lie algebra methods for the application to the statistical theory of turbulence”, J. Nonl. Math. Phys., 15:2 (2008), 227–251  crossref  mathscinet
  2. V. Grebenev, M. Oberlack, “Approximate Lie symmetries of the Navier-Stokes equations”, J. Nonl. Math. Phys, 14:2 (2007), 157–163  crossref  mathscinet

https://www.mathnet.ru/eng/person28231
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/231024

Publications in Math-Net.Ru Citations
2024
1. V. N. Grebenev, A. G. Demenko, G. G. Chernykh, “Local equilibrium approach in the problem of the dynamics of a plane turbulent wake in a passively stratified medium”, Sib. Zh. Ind. Mat., 27:1 (2024),  16–28  mathnet; J. Appl. Industr. Math., 18:1 (2024), 36–46 1
2023
2. V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, “Symmetry transformations of the vortex field statistics in optical turbulence”, TMF, 217:2 (2023),  438–451  mathnet  mathscinet; Theoret. and Math. Phys., 217:2 (2023), 1795–1805  scopus
2022
3. V. N. Grebenev, A. G. Demenko, G. G. Chernykh, “Local equilibrium approximation in the mathematical model of the far turbulent wake behind a body of revolution”, Prikl. Mekh. Tekh. Fiz., 63:5 (2022),  110–118  mathnet  elib; J. Appl. Mech. Tech. Phys., 63:5 (2022), 825–832
4. V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, M. P. Fedoruk, “Hydrodynamic approximation for two-dimensional optical turbulence: symmetries of statistical distributions”, Kvantovaya Elektronika, 52:11 (2022),  1023–1030  mathnet [Bull. Lebedev Physics Institute, 50:suppl. 3 (2023), S343–S354] 1
2021
5. V. N. Grebenev, A. G. Demenko, G. G. Chernykh, “Method of differential constraints: local equilibrium approximation in a momentumless flat turbulent wake”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021),  38–47  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:3 (2021), 383–390 5
2009
6. V. N. Grebenev, M. Yu. Filimonov, “On a Preserving Loitsyansky Invariant into Millionshtchikov Closure Model of Homogeneous Isotropic Turbulent Dynamics”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:4 (2009),  23–37  mathnet 1
2006
7. V. N. Grebenev, M. Oberlack, “Hidden symmetries to a Hanjalic–Launder semiempirical model of turbulence”, Regul. Chaotic Dyn., 11:3 (2006),  371–381  mathnet  mathscinet  zmath
1999
8. V. N. Grebenev, B. B. Ilyushin, “On a class of self-similar solutions of the problem of shear-free mixing layer of turbulent flows”, Sib. Zh. Ind. Mat., 2:2 (1999),  51–59  mathnet  mathscinet  zmath
1998
9. V. N. Grebenev, “On a problem of the dynamics of a far plane turbulent wake”, Sib. Zh. Ind. Mat., 1:1 (1998),  97–103  mathnet  mathscinet  zmath
1997
10. V. N. Grebenev, “Heat propagation in a planar zero-momentum turbulent wake”, Zh. Vychisl. Mat. Mat. Fiz., 37:7 (1997),  878–886  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:7 (1997), 854–861 1
1994
11. V. N. Grebenev, “On a certain system of degenerate parabolic equations which arises in hydrodynamics”, Sibirsk. Mat. Zh., 35:4 (1994),  753–767  mathnet  mathscinet  zmath; Siberian Math. J., 35:4 (1994), 670–682  isi 4
1992
12. V. N. Grebenev, “Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy”, Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992),  1916–1928  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:12 (1992), 1745–1756  isi
13. V. N. Grebenev, “The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid”, Zh. Vychisl. Mat. Mat. Fiz., 32:1 (1992),  123–135  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:1 (1992), 103–113  isi 1
1991
14. V. N. Grebenev, “Solvability of a problem on the evolution of a turbulent spot in a homogeneous fluid on a small time interval”, Differ. Uravn., 27:10 (1991),  1725–1733  mathnet  mathscinet  zmath; Differ. Equ., 27:10 (1991), 1218–1225
15. V. N. Grebenev, “On a coordinate transformation in a problem with a free boundary”, Sibirsk. Mat. Zh., 32:3 (1991),  39–46  mathnet  mathscinet  zmath; Siberian Math. J., 32:3 (1991), 383–389  isi
1990
16. V. N. Grebenev, “On the solvability of the problem of the development of a domain of turbulent homogeneous fluid”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990),  616–619  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 187–190 2

1992
17. V. N. Grebenev, “Letter to the editors: “Solvability of a problem on the evolution of a turbulent spot in a homogeneous fluid on a small time interval” [Differentsial'nye Uravneniya 27 (1991), no. 10, 1725–1733, 1836; MR1157679]”, Differ. Uravn., 28:10 (1992),  1836  mathnet  mathscinet

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