Deutsch

Grebenev, Vladimir N. ; Oberlack, Martin (2018)
Homogeneous Isotropic Turbulence: Geometric and Isometry Properties of the 2-point Velocity Correlation Tensor.
In: Journal of Nonlinear Mathematical Physics, 25 (4)
doi: 10.1080/14029251.2018.1503447
Artikel, Bibliographie

Englisch

Wacławczyk, Marta ; Grebenev, Vladimir N. ; Oberlack, Martin (2020)
Conformal Invariance of Characteristic Lines in a Class of Hydrodynamic Models.
In: Symmetry, 12 (9)
doi: 10.3390/sym12091482
Artikel, Bibliographie

Wacławczyk, Marta ; Grebenev, Vladimir N. ; Oberlack, Martin (2017)
Lie symmetry analysis of the Lundgren–Monin–Novikov equations for multi-point probability density functions of turbulent flow.
In: Journal of Physics A: Mathematical and Theoretical, 50 (17)
doi: 10.1088/1751-8121/aa62f4
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin ; Megrabov, A. G. ; Grishkov, A. N. (2016)
Symmetry transformations of an ideal steady fluid flow determined by a potential function.
In: Journal of Mathematical Physics, 57 (10)
doi: 10.1063/1.4965224
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin ; Grishkov, A. N. (2013)
Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence.
In: Zeitschrift für Angewandte Mathematik und Physik, 64 (3)
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2011)
Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence.
In: Journal of Nonlinear Mathematical Physics (JNMP), 18 (1)
Artikel, Bibliographie

Liu, Zeng ; Oberlack, Martin ; Grebenev, Vladimir N. ; Liao, Shi-Jun (2011)
Explicit series solution of a closure model for the Kármán-Howarth equation.
In: ANZIAM Journal
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2009)
A Geometric Interpretation of the Second-Order Structure Function Arising in Turbulence.
In: Mathematical Physics, Analysis and Geometry, 12 (1)
Artikel, Bibliographie

Grebenev, Vladimir N. ; Grishkov, A. N. ; Oberlack, Martin (2008)
Lie algebra methods in Statistical Theory of Turbulence.
In: Journal of Nonlinear Mathematical Physics (JNMP), 15 (2)
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2007)
Approximate Lie symmetries of the Navier-Stokes equations.
In: Journal of Nonlinear Mathematical Physics, 14
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2007)
Compatible differential constraints to an infinite chain of transport equations for cumulants.
In: Communications in Nonlinear Science and Numerical Simulation, 12
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2006)
Hidden symmetries to a Hanjalic-Launder semiempirical model of turbulence.
In: Regular and Chaotic Dynamics, 11
Artikel, Bibliographie

Grebenev, Vladimir N. ; Oberlack, Martin (2005)
A Chorin-Type Formula for Solutions to a Closure Model for the von Kármán-Howarth Equation.
In: Journal of Nonlinear Mathematical Physics, 12
Artikel, Bibliographie