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This paper addresses resonantly forced spiral density waves in a dense planetary ring which is close to the threshold for viscous overstability. We solve numerically the hydrodynamical equations for a dense, axisymmetric thin disk in the…

Earth and Planetary Astrophysics · Physics 2019-03-20 Marius Lehmann , Juergen Schmidt , Heikki Salo

The rolling motion of a rigid cylinder on an inclined flat viscous surface is investigated and the nonlinear resistance force against rolling, $F_R(v)$, is derived. For small velocities $F_R(v)$ increases with velocity due to increasing…

Materials Science · Physics 2007-05-23 Thorsten Poeschel , Thomas Schwager , Nikolai Brilliantov , Alexei Zaikin

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

We show that capillary waves can exist at the the boundary between miscible co-flowing fluids. We unveil that the interplay between transient interfacial stresses and confinement drives the progressive transition from the well-known…

Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

Fluid Dynamics · Physics 2019-12-03 Xiaojia Wang , Ivan C. Christov

A numerical model is proposed to compute the eigenmodes and the forced response of multilayered elastic spheres. The main idea is to describe analytically the problem along the angular coordinates with spherical harmonics and to discretize…

Soft Condensed Matter · Physics 2020-04-27 Matthieu Gallezot , Fabien Treyssède , Odile Abraham

Using nonlinear vortex-sheet simulations, we determine the region in parameter space in which a straight flag in a channel-bounded inviscid flow is unstable to flapping motions. We find that for heavier flags, greater confinement increases…

Fluid Dynamics · Physics 2015-06-22 Silas Alben

In this paper, we study Bragg resonance, i.e. the triad interaction between surface and/or interfacial waves with bottom ripple, in presence of background velocity. We show that when one of the constituent waves of the triad has negative…

Fluid Dynamics · Physics 2019-09-04 Raunak Raj , Anirban Guha

Consider the dynamics of a gas bubble in an inviscid, compressible liquid with surface tension. Kinematic and dynamic boundary conditions couple the bubble surface deformation dynamics with the dynamics of waves in the fluid. This system…

Analysis of PDEs · Mathematics 2015-03-14 A. M. Shapiro , M. I. Weinstein

Pattern formation in parametric surface waves is studied in the limit of weak viscous dissipation. A set of quasi-potential equations (QPEs) is introduced that admits a closed representation in terms of surface variables alone. A multiscale…

patt-sol · Physics 2009-10-30 Wenbin Zhang , Jorge Vinals

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at…

patt-sol · Physics 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

We investigate the linear Floquet stability of two fluid layers undergoing oscillations in the direction parallel to the flexible wall that separates them. This canonical configuration is inspired by the cerebrospinal fluid flow in the…

Swimming and flying animals demonstrate remarkable adaptations to diverse flow conditions in their environments. In this study, we aim to advance the fundamental understanding of the interaction between flexible bodies and heterogeneous…

Fluid Dynamics · Physics 2025-12-16 Abdur Rehman , Daniel Floryan

Tilted lattice potentials with periodic driving play a crucial role in the study of artificial gauge fields and topological phases with ultracold quantum gases. However, driving-induced heating and the growth of phonon modes restrict their…

We compute the dynamical friction on a small perturber moving through an inviscid fluid, i.e., a superfluid. Crucially, we account for the tachyonic gravitational mass for sound waves, reminiscent of the Jeans instability of the fluid,…

High Energy Physics - Phenomenology · Physics 2019-11-06 Lasha Berezhiani , Benjamin Elder , Justin Khoury

We study the appearance of large scale mean motion sustained by stochastic forcing on a rotating fluid (in the quasigeostrophic approximation) flowing over topography. As in other noise rectification phenomena, the effect requires…

chao-dyn · Physics 2009-10-31 Alberto Alvarez , Emilio Hernandez-Garcia , Joaquin Tintore

The behaviour of semi-dilute wormlike micelle solutions under vertical vibrations is investigated using classical measurements of the Faraday instability threshold along with two new experiments based on particle imaging velocimetry and…

Fluid Dynamics · Physics 2009-09-30 P. Ballesta , S. Manneville

In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly along a conduit of a viscous liquid. Formally, the behavior of modulated periodic waves on large space and time scales may be…

Analysis of PDEs · Mathematics 2019-11-05 Mathew A. Johnson , Wesley R. Perkins

We report on the experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are highlighted at the basin center depending…

Fluid Dynamics · Physics 2023-01-11 Jules Fillette , Stéphan Fauve , Eric Falcon

We report an experimental study of the instability of a nearly-resonant Kelvin mode forced by precession in a cylindrical vessel. The instability is detected above a critical precession ratio via the appearance of peaks in the temporal…

Fluid Dynamics · Physics 2019-03-13 Johann Herault , Andre Giesecke , Thomas Gundrum , Frank Stefani
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