Edit Profile (opens in new tab) Grebenev, Vladimir N. Co-Author Distance Author ID: grebenev.vladimir-n Published as: Grebenev, V. N.; Grebenev, Vladimir N.; Grebenëv, V. N.; Grebenev, Vladimir; Grebenev, V. more...less Documents Indexed: 64 Publications since 1983 Reviewing Activity: 1,066 Reviews Co-Authors: 26 Co-Authors with 48 Joint Publications 559 Co-Co-Authors all top 5 Co-Authors 16 single-authored 21 Oberlack, Martin 14 Medvedev, Sergeĭ Borisovich 11 Nazarenko, Sergeĭ Vital’evich 8 Grishkov, Alexander Nikolaevich 6 Wacławczyk, Marta 4 Chernykh, Gennadiǐ Georgievich 4 Ilyushin, B. B. 3 Chirkunov, Yuriĭ Aleksandrovich 2 Novikov, V. A. 2 Semisalov, Boris Vladimirovich 1 Bell, N. K. 1 Bykov, D. O. 1 Demenkov, Andrew G. 1 Filimonov, Mikhaĭl Yur’evich 1 Frewer, Michael 1 Galtier, Sébastien 1 Griffin, Adam 1 Lazareva, Galina G. 1 Liao, Shijun 1 Liu, Zeng 1 Megrabov, Alexander G. 1 Schwab, I. V. 1 Shokin, Yuriĭ Ivanovich 1 Shtyrina, Olga Vladimirovna 1 Shvab, I. V. 1 Thalabard, Simon all top 5 Serials 13 Journal of Physics A: Mathematical and Theoretical 6 Journal of Nonlinear Mathematical Physics 5 Vychislitel’nye Tekhnologii 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Journal of Applied Mechanics and Technical Physics 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 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 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics all top 5 Fields 54 Fluid mechanics (76-XX) 34 Partial differential equations (35-XX) 7 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 90 times in 53 Documents Cited by ▼ Year ▼ Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 10 2017 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. 10 2014 Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678 Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N. 7 2014 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. 6 2017 Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024 Grebenev, Vladimir N.; Oberlack, Martin 5 2011 Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038 Grebenev, V. N.; Oberlack, M. 5 2007 Self-similar evolution of alfven wave turbulence. Zbl 1464.76210 Bell, N. K.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 5 2017 A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027 Grebenev, Vladimir N.; Oberlack, Martin 4 2009 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 geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035 Grebenev, V. N.; Oberlack, M. 4 2012 Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096 Nazarenko, S. V.; Grebenev, V. N. 4 2017 Steady states in Leith’s model of turbulence. Zbl 1349.76091 Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V. 3 2016 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. 3 2013 Numerical analysis of a self-similar turbulent flow in Bose-Einstein condensates. Zbl 1476.35208 Semisalov, B. V.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 3 2021 On a certain system of degenerate parabolic equations which arises in hydrodynamics. Zbl 0861.35079 Grebenëv, V. N. 2 1994 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. 2 2013 Method of differential constraints: local equilibrium approximation in a planar momentumless turbulent wake. Zbl 1482.76071 Grebenev, V. N.; Demenkov, A. G.; Chernykh, G. G. 2 2021 The differential constraints method: Application to analysis of the shearless turbulence mixing layer. Stable and unstable stratifications. Zbl 1419.76499 Grebenev, V.; Ilyushin, 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 The use of differential constraints for analyzing turbulence models. Zbl 1010.76044 Grebenev, V. N.; Ilyushin, B. B.; Shokin, Yu. I. 1 2000 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 Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type. Zbl 0874.35060 Grebenev, Vladimir N. 1 1996 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 Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032 Grebenev, Vladimir N.; Medvedev, Sergeĭ B. 1 2015 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 Complementary remarks to properties of the energy spectrum in Leith’s model of turbulence. Zbl 07777505 Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B. 1 2017 The focusing problem for the Leith model of turbulence: a self-similar solution of the third kind. Zbl 1509.76038 Nazarenko, S. V.; Grebenev, V. N.; Medvedev, S. B.; Galtier, S. 1 2019 Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence. Zbl 1509.76037 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2019 Numerical analysis of a self-similar turbulent flow in Bose-Einstein condensates. Zbl 1476.35208 Semisalov, B. V.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 3 2021 Method of differential constraints: local equilibrium approximation in a planar momentumless turbulent wake. Zbl 1482.76071 Grebenev, V. N.; Demenkov, A. G.; Chernykh, G. G. 2 2021 The focusing problem for the Leith model of turbulence: a self-similar solution of the third kind. Zbl 1509.76038 Nazarenko, S. V.; Grebenev, V. N.; Medvedev, S. B.; Galtier, S. 1 2019 Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence. Zbl 1509.76037 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2019 Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 10 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. 6 2017 Self-similar evolution of alfven wave turbulence. Zbl 1464.76210 Bell, N. K.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. 5 2017 Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. Zbl 1381.76096 Nazarenko, S. V.; Grebenev, V. N. 4 2017 Complementary remarks to properties of the energy spectrum in Leith’s model of turbulence. Zbl 07777505 Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B. 1 2017 Steady states in Leith’s model of turbulence. Zbl 1349.76091 Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V. 3 2016 Hamiltonian structure for two-dimensional linear equations of elasticity theory. Zbl 1348.74032 Grebenev, Vladimir N.; Medvedev, Sergeĭ B. 1 2015 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. 10 2014 Invariant solutions for the nonlinear diffusion model of turbulence. Zbl 1426.76678 Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N. 7 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. 3 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. 2 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. 5 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 The differential constraints method: Application to analysis of the shearless turbulence mixing layer. Stable and unstable stratifications. Zbl 1419.76499 Grebenev, V.; Ilyushin, B. 1 2002 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 all cited Publications top 5 cited Publications all top 5 Cited by 45 Authors 25 Grebenev, Vladimir N. 18 Oberlack, Martin 9 Nazarenko, Sergeĭ Vital’evich 7 Medvedev, Sergeĭ Borisovich 6 Grishkov, Alexander Nikolaevich 5 Wacławczyk, Marta 4 Chirkunov, Yuriĭ Aleksandrovich 3 Chernykh, Gennadiǐ Georgievich 2 Bell, N. K. 2 Cheviakov, Alexei F. 2 de Divitiis, Nicola 2 Frewer, Michael 2 Jamal, Sameerah 2 Khujadze, George R. 2 Nold, Andreas 2 Semisalov, Boris Vladimirovich 1 Agarwal, Praveen 1 Ali, Mohamed Reda 1 Baev, M. K. 1 Bakhshandeh-Chamazkoti, Rohollah 1 Dubrulle, Bérengère 1 Galtier, Sébastien 1 Griffin, Adam 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 Pitzel, Brian 1 Plümacher, Dominik 1 Pocci, Cristina 1 Praturi, Divya Sri 1 Rosenhaus, Vladimir 1 Sadat, Rahma 1 Saleh, Rash 1 Shcherbakov, A. I. 1 Shmidt, A. V. 1 Smolkin, Michael 1 Tarayrah, Mahmood R. 1 Thalabard, Simon 1 Tran, Minh-Binh 1 Vaskevich, Vladimir Leont’evich 1 Wazwaz, Abdul-Majid Abdul-Rahman all top 5 Cited in 28 Serials 13 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Physics 4 Journal of Applied Mechanics and Technical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 European Journal of Applied Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Matematicheskie Trudy 1 Journal of High Energy Physics 1 The ANZIAM Journal 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 São Paulo Journal of Mathematical Sciences all top 5 Cited in 17 Fields 43 Fluid mechanics (76-XX) 21 Partial differential equations (35-XX) 6 Differential geometry (53-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year