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We consider a wide class of approximate models of evolution of singular distributions of vorticity in three dimensional incompressible fluids and we show that they have global smooth solutions. The proof exploits the existence of suitable…

Mathematical Physics · Physics 2007-05-23 L. C. Berselli , M. Gubinelli

To explain the observed decay of superfluid turbulence at very low temperature, it has been proposed that a cascade of Kelvin waves (analogous to the classical Kolmogorov cascade) transfers kinetic energy to length scales which are small…

Statistical Mechanics · Physics 2015-05-19 Andrew W. Baggaley , Carlo F. Barenghi

Vortex-flows exist across a broad range of spatial and temporal scales in the solar atmosphere. Small-scale vortices have been proposed to play an important role in energy transport in the solar atmosphere. However, their physical…

Solar and Stellar Astrophysics · Physics 2021-01-04 Nitin Yadav , Robert H. Cameron , Sami K. Solanki

We report on an experimental study of the Faraday instability in a vibrated fluid layer situated over a permeable and rough substrate, consisting either of a flat solid plate or of woven meshes having different openings and wire diameters,…

Two vortex rings can form a localized configuration whereby they continually pass through one another in an alternating fashion. This phenomenon is called leapfrogging. Using parameters suitable for superfluid helium-4, we describe a…

Fluid Dynamics · Physics 2016-12-14 N. Hietala , R. Hänninen , H. Salman , C. F. Barenghi

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation…

Fluid Dynamics · Physics 2021-03-17 Nicolás P. Müller , Juan Ignacio Polanco , Giorgio Krstulovic

We study the elementary characteristics of turbulence in a quantum ferrofluid through the context of a dipolar Bose gas condensing from a highly non-equilibrium thermal state. Our simulations reveal that the dipolar interactions drive the…

Quantum Gases · Physics 2018-10-31 T. Bland , G. W. Stagg , L. Galantucci , A. W. Baggaley , N. G. Parker

Direct numerical simulations of turbulent flow in a channel with one rigid and one viscoelastic wall are performed. An Eulerian-Eulerian model is adopted with a level-set approach to identify the fluid-compliant material interface. Focus is…

Fluid Dynamics · Physics 2021-11-03 Amir Esteghamatian , Joseph Katz , Tamer A. Zaki

In classical viscous fluids, turbulent eddies are known to be responsible for the rapid spreading of embedded particles. But in an inviscid quantum fluid where the turbulence is induced by a chaotic tangle of quantized vortices, dispersion…

Fluid Dynamics · Physics 2022-03-08 Satoshi Yui , Yuan Tang , Wei Guo , Hiromichi Kobayashi , Makoto Tsubota

The motion of a quantized vortex is intimately connected with its microscopic structure and the elementary excitations of the surrounding fluid. In this work, we investigate the two-dimensional motion of a single vortex orbiting a pinned…

When two vortices cross, each of them breaks into two parts and exchanges part of itself for part of the other. This process, called vortex reconnection, occurs in classical as well as superfluids, and in magnetized plasmas and…

Other Condensed Matter · Physics 2009-11-13 Gregory P. Bewley , Matthew S. Paoletti , Katepalli R. Sreenivasan , Daniel P. Lathrop

We revisit the vortex filament conjecture for three-dimensional inviscid and incompressible Euler flows with helical symmetry and no swirl. Using gluing arguments, we provide the first construction of a smooth helical vortex filament in the…

Analysis of PDEs · Mathematics 2025-11-18 Averkios Averkiou , Monica Musso

A recent work of Harikrishnan et al. [arXiv:2110.02253 (2021)] has revealed an abundance of hairpin-like vortex structures, oriented in a similar direction, in the turbulent patches of a stably stratified Ekman flow. The Ekman flow over a…

Fluid Dynamics · Physics 2023-07-25 Abhishek Harikrishnan , Marie Rodal , Rupert Klein , Daniel Margerit , Nikki Vercauteren

We perform fully coupled two--dimensional numerical simulations of plane channel helium II counterflows with vortex--line density typical of experiments. The main features of our approach are the inclusion of the back reaction of the…

Other Condensed Matter · Physics 2015-12-09 Luca Galantucci , Michele Sciacca , Carlo F. Barenghi

The unitary Fermi gas (UFG) offers an unique opportunity to study quantum turbulence both experimentally and theoretically in a strongly interacting fermionic superfluid. It yields to accurate and controlled experiments, and admits the only…

Quantum Gases · Physics 2015-04-13 Gabriel Wlazłowski , Aurel Bulgac , Michael McNeil Forbes , Kenneth J. Roche

Turbulence is one of the most prototypical phenomena of systems driven out of equilibrium. While turbulence has been studied mainly with classical fluids like water, considerable attention is now drawn to quantum turbulence (QT), observed…

Quantum Gases · Physics 2016-09-07 Masahiro Takahashi , Michikazu Kobayashi , Kazumasa A. Takeuchi

The statement of problem is motivated by the idea of modeling the classical turbulence with a set of chaotic quantized vortex filaments in superfluids. Among various arguments supporting the idea of quasi-classic behavior of quantum…

Other Condensed Matter · Physics 2015-11-24 Sergey K. Nemirovskii

We study the mechanical buckling of a two dimensional membrane coated with a thin layer of superfluid. It is seen that a singularity (vortex or anti-vortex defect) in the phase of the quantum order parameter, distorts the membrane metric…

Soft Condensed Matter · Physics 2011-11-21 N. Upadhyaya , V. Vitelli

Dynamic organization of the cytoskeletal filaments and rod-like proteins in the cell membrane and other biological interfaces occurs in many cellular processes. Previous modeling studies have considered the dynamics of a single rod on fluid…

Fluid Dynamics · Physics 2022-06-17 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

Within Density Functional Theory, we have investigated the coalescence dynamics of two superfluid helium nanodroplets hosting vortex lines in different relative orientations, which are drawn towards each other by the Van der Waals mutual…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 J. M. Escartin , F. Ancilotto , M. Barranco , M. Pi