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When considering flows in biological membranes, they are usually treated as flat, though more often than not, they are curved surfaces, even extremely curved, as in the case of the endoplasmic reticulum. Here, we study the topological…

Fluid Dynamics · Physics 2021-05-27 Rickmoy Samanta , Naomi Oppenheimer

A vortex molecule is a topological excitation in two coherently coupled superfluids consisting of a vortex in each superfluid connected by a domain wall of the relative phase, also known as a Josephson vortex. We investigate the dynamics of…

Quantum Gases · Physics 2022-10-25 Sarthak Choudhury , Joachim Brand

Vorticity distributions in axisymmetric vortex rings produced by a piston-pipe apparatus are numerically studied over a range of Reynolds numbers, $\mathrm{Re}$, and stroke-to-diameter ratios, $L/D$. It is found that a state of advective…

Fluid Dynamics · Physics 2017-12-19 Karim Shariff , Paul S. Krueger

We report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

Fluid Dynamics · Physics 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

Quantized vortices are the prototypical feature of superfluidity. Pervasive in all natural systems, vortices are yet to be observed in dipolar quantum gases. Here, we exploit the anisotropic nature of the dipole-dipole interaction of a…

The theory of vortex motion in a dilute superfluid of inhomogeneous density demands a boundary layer approach, in which different approximation schemes are employed close to and far from the vortex, and their results matched smoothly…

Soft Condensed Matter · Physics 2009-11-07 J. R. Anglin

We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show…

Analysis of PDEs · Mathematics 2008-12-12 Franck Sueur

The dynamical equation of the boundary vorticity has been obtained, which shows that the viscosity at a solid wall is doubled as if the fluid became more viscous at the boundary. For certain viscous flows the boundary vorticity can be…

Fluid Dynamics · Physics 2023-08-28 V. Cherepanov , J. Liu , Z. Qian

We analyze quantum droplets formed in a two-dimensional symmetric mixture of Bose-Einstein condensed atoms. For sufficiently large atom numbers, these droplets exhibit a flat-top density profile with sharp boundaries governed by surface…

Pattern Formation and Solitons · Physics 2025-07-30 Angel Paredes , Jose Guerra-Carmenate , Humberto Michinel

Electron vortices are the quintessential signature of a viscous electron fluid. For decades, their detection relied on indirect transport measurements with persistently debated interpretations. Recently, scanning magnetometry enabled direct…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Andrey A. Shevyrin , Askhat K. Bakarov , Arthur G. Pogosov

We theoretically show that the topology of a non-simply-connected annular atomic Bose-Einstein condensate enforces the inner surface waves to be always excited with outer surface excitations and that the inner surface modes are associated…

Quantum Gases · Physics 2012-07-26 S. J. Woo , Young-Woo Son

The deformation of two-dimensional vortex patches in the vicinity of fluid boundaries is investigated. The presence of a boundary causes an initially circular patch of uniform vorticity to deform. Sufficiently far away from the boundary,…

Fluid Dynamics · Physics 2013-02-19 A. Crosby , E. R. Johnson , P. J. Morrison

Effective field theory descriptions of surface waves on flowing fluids have tended to assume that the flow is irrotational, but this assumption is often impractical due to boundary layer friction and flow recirculation. Here we develop an…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alessia Biondi , Scott Robertson , Germain Rousseaux

Releasing shell-shaped Bose-Einstein condensates from their confinement produces a spherically symmetric density distribution characterized by concentric ripples surrounding a central peak. Here we investigate how a vortex-antivortex dipole…

Quantum Gases · Physics 2026-04-23 A. Tononi

We consider the motion of a vortex in an asymptotically homogeneous condensate bounded by a solid wall where the wave function of the condensate vanishes. For a vortex parallel to the wall, the motion is essentially equivalent to that…

Soft Condensed Matter · Physics 2009-11-11 Peter Mason , Natalia G. Berloff , Alexander L. Fetter

The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and strongly non-linear waves in a three-dimensional fluid with…

Fluid Dynamics · Physics 2025-02-04 Alex Doak , Guido Baardink , Paul A Milewski , Anton Souslov

This paper presents a comprehensive analysis of two-dimensional water waves characterized by a significant adverse constant vorticity over flows without stagnation points. Surprisingly, we discover qualitative distinctions between this…

Analysis of PDEs · Mathematics 2024-04-09 Evgeniy Lokharu

We study the formation and the dynamics of vortex lines in rotating scalar dark matter halos, focusing on models with quartic repulsive self-interactions. In the nonrelativistic regime, vortex lines and their lattices arise from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Ph. Brax , P. Valageas

Vortex, the winding of a vector field in two dimensions, has its core the field singularity and its topological charge defined by the quantized winding angle of the vector field. Vortices are one of the most fundamental topological…

Optics · Physics 2018-05-08 Yiwen Zhang , Ang Chen , Wenzhe Liu , Chia Wei Hsu , Fang Guan , Xiaohan Liu , Lei Shi , Ling Lu , Jian Zi

A novel method is proposed to identify vortex boundary and center of rotation based on tubular surfaces of constant stagnation pressure and minimum of the stagnation pressure gradient. The method is derived from Crocco's theorem, which…

Fluid Dynamics · Physics 2024-11-21 Marc Plasseraud , Krishnan Mahesh