2023

Grebenev, V. N. ; Grishkov, A. N. ; Oberlack, Martin (2023)
Symmetry of the Lundgren–Monin–Novikov Equation for the Probability Distribution of the Vortex Field.
In: Doklady Physics, 68 (3)
doi: 10.1134/S1028335823010044
Artikel, Bibliographie

2021

Wacławczyk, M. ; Grebenev, V. N. ; Oberlack, Martin (2021)
Conformal invariance of the 1-point statistics of the zero-isolines of 2d scalar fields in inverse turbulent cascades.
In: Physical Review Fluids, 6 (8)
doi: 10.1103/PHYSREVFLUIDS.6.084610
Artikel, Bibliographie

Grebenev, V. N. ; Wacławczyk, M. ; Oberlack, Martin (2021)
Reply to Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’.
In: Journal of Physics A: Mathematical and Theoretical, 54 (43)
doi: 10.1088/1751-8121/abe95b
Artikel, Bibliographie

Grebenev, V. N. ; Grichkov, A. N. ; Oberlack, Martin ; Wacławczyk, M. (2021)
Second-order invariants of the inviscid Lundgren–Monin–Novikov equations for 2d vorticity fields.
In: Zeitschrift für angewandte Mathematik und Physik, 72 (3)
doi: 10.1007/s00033-021-01562-2
Artikel, Bibliographie

2019

Grebenev, V. N. ; Wacławczyk, M. ; Oberlack, Martin (2019)
Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence.
In: Journal of Physics A: Mathematical and Theoretical, 52 (33)
doi: 10.1088/1751-8121/ab2f61
Artikel, Bibliographie

2017

Grebenev, V. N. ; Wacławczyk, M. ; Oberlack, M. (2017)
Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence.
In: Journal of Physics A: Mathematical and Theoretical, 50 (43)
doi: 10.1088/1751-8121/aa8c69
Artikel, Bibliographie

2014

Frewer, Michael ; Oberlack, Martin ; Grebenev, V. N. (2014)
The Dual Stream Function Representation of an Ideal Steady Fluid Flow and its Local Geometric Structure.
In: Mathematical Physics, Analysis and Geometry, 17
doi: 10.1007/s11040-014-9138-5
Artikel, Bibliographie

2013

Grebenev, V. N. ; Grishkov, A. N. ; Oberlack, M. (2013)
The Extended Symmetry Lie Algebra and the Asymptotic Expansion of the Transversal Correlation Function for the Isotropic Turbulence.
In: Advances in Mathematical Physics
Artikel, Bibliographie

2012

Grebenev, V. N. ; Oberlack, Martin (2012)
A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence.
In: Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 92 (3)
doi: 10.1002/zamm.201100021
Artikel, Bibliographie