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We address the properties of two-dimensional surface solitons supported by the interface of a waveguide array whose nonlinearity is periodically modulated. When the nonlinearity strength reaches its minima at the points where the linear…

Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the…

Fluid Dynamics · Physics 2020-05-26 Duo Xu , Atul Varshney , Xingyu Ma , Baofang Song , Michael Riedl , Marc Avila , Björn Hof

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous media can exhibit different phenomena when compared to traditional spatially-varying, temporally-homogeneous media. In the present work, the response of a…

Applied Physics · Physics 2023-04-05 Brian L. Kim , Christoper Chong , Setare Hajarolasvadi , Yifan Wang , Chiara Daraio

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 2015-01-30 Juhi Jang , Ian Tice , Yanjin Wang

This letter describes a periodically oscillating microfoam flow. For constant input parameters, both the produced bubble volume and the flow rate vary over a factor two. We explicit the link between foam topology alternance and flow rate…

Fluid Dynamics · Physics 2009-11-11 Jan-Paul Raven , Philippe Marmottant

While elastic metasurfaces offer a remarkable and very effective approach to the subwalength control of stress waves, their use in practical applications is severely hindered by intrinsically narrow band performance. This work introduces…

Applied Physics · Physics 2022-06-01 Hongfei Zhu , Timothy F. Walsh , Bradley H. Jared , Fabio Semperlotti

An asymptotic interface equation for directional solidification near the absolute stabiliy limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts…

Condensed Matter · Physics 2009-11-07 Yannick Marietti , Jean-Marc Debierre , Thomas-Michael Bock , Klaus Kassner

In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differential operator inherent in the dynamics of a…

Analysis of PDEs · Mathematics 2024-02-29 M. A. Fontelos , R. Lecaros , J. López-Ríos , A. Pérez

Using an effective field theory we study the low-lying bosonic excitations and their couplings to phonons at ultrasonic frequencies in superfluid $^3$He-B under strong confinement. We show that confinement induces a rich spectrum of…

Superconductivity · Physics 2018-01-09 Takeshi Mizushima , J. A. Sauls

Via simulations of flowing foam, we connect the high and intermediate density regimes of complex fluid flows into a consistent microscopic picture of deformation. While at and above the jamming transition, elastic correlations lead to…

Soft Condensed Matter · Physics 2015-12-09 V. Chikkadi , E. Woldhuis , M. van Hecke , P. Schall

Traffic flow oscillations, including traffic waves, are a common yet incompletely understood feature of congested traffic. Possible mechanisms include traffic flow instabilities, indifference regions or finite human perception thresholds…

Physics and Society · Physics 2017-08-24 Martin Treiber , Arne Kesting

Vertical oscillation of a fluid interface above a critical amplitude excites the Faraday instability, typically manifesting itself as a standing wave pattern. Fundamentally, the phenomenon is an example of parametric resonance. At high…

Fluid Dynamics · Physics 2013-10-10 William Batson , Farzam Zoueshtiagh , Ranga Narayanan

This paper addresses the stability of plane Couette flow in the presence of strong density and viscosity stratifications. It demonstrates the existence of a generalised inflection point that satisfies the generalised Fjortoft's criterion of…

Fluid Dynamics · Physics 2024-06-13 B. Bugeat , P. C. Boldini , A. M. Hasan , R. Pecnik

Oceanic geostrophic turbulence is mostly forced at the surface, yet strong bottom-trapped flows are commonly observed along topographic anomalies. Here we consider the case of a freely evolving, initially surface-intensified velocity field…

Fluid Dynamics · Physics 2015-06-04 Antoine Venaille

We discuss experimental investigations on steady streaming flows of dilute and semi-dilute polymer solutions in microfluidic devices. The effect of non-Newtonian behavior on steady streaming for different model fluids is determined by…

Fluid Dynamics · Physics 2019-07-29 Giridar Vishwanathan , Gabriel Juarez

Experiments have shown that micron-sized distributed surface roughness can significantly promote transition in a three-dimensional boundary layer dominated by crossflow insta- bility. This sensitive effect has not yet been fully explained…

Fluid Dynamics · Physics 2018-12-05 Jiyang He , Adam Butler , Xuesong Wu

We consider free surface instabilities of films flowing on inverted substrates within the framework of lubrication approximation. We allow for the presence of fronts and related contact lines, and explore the role which they play in…

Fluid Dynamics · Physics 2015-03-13 Te-sheng Lin , Lou Kondic

This paper starts from the far-field behaviours of velocity field in externally-unbounded flow. We find that the well-known algebraic decay of disturbance velocity as derived kinematically is too conservative. Once the kinetics is taken…

Fluid Dynamics · Physics 2021-03-11 Luoqin Liu , Linlin Kang , Jiezhi Wu

Transonicity in a spherically symmetric accreting system has been considered in both the stationary and the dynamic regimes. The stationary flow, set up as a dynamical system, has been shown to be greatly unstable to even the minutest…

Astrophysics · Physics 2008-11-26 Arnab K. Ray , Jayanta K. Bhattacharjee

We carry out a general study of the stability of astrophysical flows that appear steady in a uniformly rotating frame. Such a flow might correspond to a stellar pulsation mode or an accretion disk with a free global distortion giving it…

Astrophysics · Physics 2009-11-10 J. C. B. Papaloizou