Singular solutions to the Euler equations could provide essential insight into the formation of
very small scales in highly turbulent flows. Previous attempts to find singular flow structures …

We statistically study vortex reconnections in quantum fluids by evolving different
realizations of vortex Hopf links using the Gross–Pitaevskii model. Despite the time …

Towards a finite-time singularity of the Navier–Stokes equations Part 1. Derivation and analysis
of dynamical system Page 1 J. Fluid Mech. (2019), vol. 861, pp. 930–967. c Cambridge …

Helicity is a topological invariant that measures the linkage and knottedness of lines, tubes,
and ribbons. As such, it has found myriads of applications in astrophysics, fluid dynamics …

Reconnection plays a significant role in the dynamics of plasmas, polymers and
macromolecules, as well as in numerous laminar and turbulent flow phenomena in both …

Collision of two vortex rings (VR) initially arranged in axis-offset and orthogonal
configurations at Reynolds numbers (⁠ R e Γ⁠) in the range of 5000–200 000 was …

Vortex reconnection under Biot–Savart evolution is investigated geometrically and
numerically using a tent model consisting of vortex filaments initially in the form of two tilted …

Vortices occur under all electromagnetic phenomena in quantized systems, as well as
macroscopic systems. In particular, vorticity in square‐wells is of great appeal to the …

As shown by Crow in 1970, the evolution of two almost parallel vortex filaments with
opposite circulation exhibits a long-wave instability. Ultimately, the symmetric mode …

The quantum turbulence is a collection of the interacting quantum vortex loops and
filaments. The main goal of this work is to systematize the information on the current state of …