It was clearly validated experimentally in Bernard et al (2006 Nat. Phys. 2 124–8) that the
zero-vorticity isolines in 2D turbulence belong to the class of conformal invariant (Schram …

This paper addresses the problem of the existence of conformal invariance in a class of
hydrodynamic models. For this we analyse an underlying transport equation for the one …

This study concerns conformal invariance of certain statistics in 2 d turbulence. Namely,
there exists numerical evidence by Bernard et al.[Nature Phys. 2, 124 (2006) 1745-2473 …

By applying the Lie symmetry method, group-invariant solutions are constructed for axially
loaded Euler beams. The corresponding mathematical models of the beams are formulated …

The recent claim by Grebenev et al (2017 J. Phys. A: Math. Theor. 50 435502) that the
inviscid 2D Lundgren–Monin–Novikov (LMN) equations on a zero-vorticity characteristic …

Концепция калибровочных преобразований применяется в доказательстве
инвариантности статистики линий нулевой завихренности в случае обратного каскада …

The recent study by Waclawczyk et al.[Phys. Rev. Fluids 6, 084610 (2021)] on conformal
invariance in 2D turbulence is misleading as it makes three incorrect claims that form the …

The current claim by Grebenev et al (2019 J. Phys. A: Math. Theor. 52 335501), namely that
the inviscid and unclosed 2D Lundgren–Monin–Novikov (LMN) equations on a zero-vorticity …

We use the concept of gauge transformations in the proof of the invariance of the statistics of
zero-vorticity lines in the case of the inverse energy cascade in wave optical turbulence; we …

We reject the recent criticism of Frewer and Khujadze completely. In their comment Frewer
and Khujadze demonstrate breaking of the conformal group by the 2D Lundgren–Monin …