Edit Profile Grebenev, Vladimir N. Compute Distance To: Compute Author ID: grebenev.vladimir-n Published as: Grebenev, V. N.; Grebenev, Vladimir N.; Grebenëv, V. N.; Grebenev, V. Documents Indexed: 51 Publications since 1983 Reviewing Activity: 1,064 Reviews all top 5 Co-Authors 16 single-authored 18 Oberlack, Martin 8 Medvedev, Sergeĭ Borisovich 7 Nazarenko, Sergeĭ Vital’evich 6 Grishkov, Alexander Nikolaevich 4 Ilyushin, B. B. 3 Chirkunov, Yuriĭ Aleksandrovich 3 Wacławczyk, Marta 2 Novikov, V. A. 1 Bell, N. K. 1 Chernykh, Gennadiǐ Georgievich 1 Filimonov, Mikhaĭl Yur’evich 1 Frewer, Michael 1 Lazareva, Galina G. 1 Liao, Shijun 1 Liu, Zeng 1 Megrabov, Alexander G. 1 Schwab, I. V. 1 Semisalov, Boris Vladimirovich 1 Shokin, Yuriĭ Ivanovich 1 Shtyrina, Olga Vladimirovna 1 Shvab, I. V. all top 5 Serials 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of Nonlinear Mathematical Physics 5 Vychislitel’nye Tekhnologii 3 Computational Mathematics and Mathematical Physics 2 Dinamika Sploshnoĭ Sredy 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Siberian Mathematical Journal 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematical Physics, Analysis and Geometry 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Communications in Nonlinear Science and Numerical Simulation 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Differentsial’nye Uravneniya 1 Differential Equations 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Regular and Chaotic Dynamics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Advances in Mathematical Physics all top 5 Fields 44 Fluid mechanics (76-XX) 28 Partial differential equations (35-XX) 6 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 53 times in 33 Documents Cited by ▼ Year ▼ Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis. Zbl 1304.35546Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B.; Schwab, I. V.; Chirkunov, Yu A. 6 2014 Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N. 6 2014 Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024Grebenev, Vladimir N.; Oberlack, Martin 5 2011 Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038Grebenev, V. N.; Oberlack, M. 4 2007 A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072Grebenev, V. N.; Oberlack, M. 4 2005 A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027Grebenev, Vladimir N.; Oberlack, Martin 4 2009 A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035Grebenev, V. N.; Oberlack, M. 4 2012 Self-similar evolution of alfven wave turbulence. Zbl 1464.76210Bell, N. K.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 3 2017 Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096Nazarenko, S. V.; Grebenev, V. N. 2 2017 On a certain system of degenerate parabolic equations which arises in hydrodynamics. Zbl 0861.35079Grebenëv, V. N. 2 1994 Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. Zbl 1350.76024Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 2 2013 Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 1 2008 The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073Frewer, 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 1034.35111Grebenev, V. N.; Ilyushin, B. B. 1 2002 Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2017 Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type. Zbl 0874.35060Grebenev, Vladimir N. 1 1996 The use of differential constraints for analyzing turbulence models. Zbl 1010.76044Grebenev, V. N.; Ilyushin, B. B.; Shokin, Yu. I. 1 2000 The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. Zbl 1350.76023Grebenev, V. N.; Grishkov, A. N.; Oberlack, M. 1 2013 Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032Grebenev, Vladimir N.; Medvedev, Sergeĭ B. 1 2015 Steady states in Leith’s model of turbulence. Zbl 1349.76091Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V. 1 2016 Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. 1 2017 Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun 1 2010 Self-similar evolution of alfven wave turbulence. Zbl 1464.76210Bell, N. K.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 3 2017 Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096Nazarenko, S. V.; Grebenev, V. N. 2 2017 Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2017 Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. 1 2017 Steady states in Leith’s model of turbulence. Zbl 1349.76091Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V. 1 2016 Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032Grebenev, Vladimir N.; Medvedev, Sergeĭ B. 1 2015 Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis. Zbl 1304.35546Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B.; Schwab, I. V.; Chirkunov, Yu A. 6 2014 Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N. 6 2014 The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073Frewer, 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 1350.76024Grebenev, 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 1350.76023Grebenev, 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 1387.76035Grebenev, V. N.; Oberlack, M. 4 2012 Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024Grebenev, Vladimir N.; Oberlack, Martin 5 2011 Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun 1 2010 A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027Grebenev, Vladimir N.; Oberlack, Martin 4 2009 Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 1 2008 Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038Grebenev, V. N.; Oberlack, M. 4 2007 A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072Grebenev, V. N.; Oberlack, M. 4 2005 Invariant sets and explicit solutions to a third-order model for the shearless stratified turbulent flow. Zbl 1034.35111Grebenev, V. N.; Ilyushin, B. B. 1 2002 The use of differential constraints for analyzing turbulence models. Zbl 1010.76044Grebenev, V. N.; Ilyushin, B. B.; Shokin, Yu. I. 1 2000 Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type. Zbl 0874.35060Grebenev, Vladimir N. 1 1996 On a certain system of degenerate parabolic equations which arises in hydrodynamics. Zbl 0861.35079Grebenëv, V. N. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 28 Authors 13 Grebenev, Vladimir N. 13 Oberlack, Martin 5 Grishkov, Alexander Nikolaevich 4 Chirkunov, Yuriĭ Aleksandrovich 4 Nazarenko, Sergeĭ Vital’evich 2 de Divitiis, Nicola 2 Jamal, Sameerah 2 Medvedev, Sergeĭ Borisovich 2 Nold, Andreas 1 Baev, M. K. 1 Bakhshandeh-Chamazkoti, Rohollah 1 Bell, N. K. 1 Chernykh, Gennadiǐ Georgievich 1 Cheviakov, Alexei F. 1 Dubrulle, Bérengère 1 Iwasa, Masatomo 1 Kaur, Lakhveer 1 Kozlov, Valeriĭ Vasil’evich 1 Liao, Shijun 1 Liu, Zeng 1 Megrabov, Alexander G. 1 Paliathanasis, Andronikos 1 Pocci, Cristina 1 Semisalov, Boris Vladimirovich 1 Shcherbakov, A. I. 1 Vaskevich, Vladimir L. 1 Wacławczyk, Marta 1 Wazwaz, Abdul-Majid Abdul-Rahman all top 5 Cited in 23 Serials 5 Journal of Mathematical Physics 3 Journal of Physics A: Mathematical and Theoretical 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Nonlinear Mathematical Physics 2 Advances in Mathematical Physics 1 Acta Mechanica 1 Journal of Fluid Mechanics 1 Russian Mathematical Surveys 1 Theoretical and Computational Fluid Dynamics 1 Journal of Geometry and Physics 1 Journal of Differential Equations 1 Osaka Journal of Mathematics 1 Physics of Fluids 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Matematicheskie Trudy 1 The ANZIAM Journal 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics all top 5 Cited in 14 Fields 26 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Ordinary differential equations (34-XX) 2 Topological groups, Lie groups (22-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year