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A stirring device consisting of a periodic motion of rods induces a mapping of the fluid domain to itself, which can be regarded as a homeomorphism of a punctured surface. Having the rods undergo a topologically-complex motion guarantees at…

Chaotic Dynamics · Physics 2008-08-27 Jean-Luc Thiffeault , Matthew D. Finn , Emmanuelle Gouillart , Toby Hall

A spherical hydrodynamical expansion flow can be described as the gradient of a potential. In that case no vorticity should be produced, but several additional mechanisms can drive its production. Here we analyze the effects of…

Astrophysics of Galaxies · Physics 2011-06-14 Fabio Del Sordo , Axel Brandenburg

This work deals with the evaluation of the flow curve of colloidal systems that develop fluid phases with different mechanical properties, namely shear-banding fluids. The problem involved is that, as different fluid phases coexist in the…

Soft Condensed Matter · Physics 2007-05-23 Daniel Quemada , Claudio L. A. Berli

In pipe, channel and boundary layer flows turbulence first occurs intermittently in space and time: at moderate Reynolds numbers domains of disordered turbulent motion are separated by quiescent laminar regions. Based on direct numerical…

Fluid Dynamics · Physics 2014-10-21 Marc Avila , Björn Hof

We investigate the onset and evolution of zonal flows in a growing convective layer when a stably-stratified fluid with a composition gradient is cooled from above. This configuration allows the study of zonal flows for a wide range of…

Fluid Dynamics · Physics 2023-11-08 J. R. Fuentes , A. Cumming

Planetary and magnetohydrodynamic drift-wave turbulence is observed to self-organize into large scale structures such as zonal jets and coherent vortices. In this Letter we present a non-equilibrium statistical theory, the Stochastic…

Atmospheric and Oceanic Physics · Physics 2014-02-13 Nikolaos A. Bakas , Petros J. Ioannou

Kinetic ballooning modes (KBM) are widely believed to play a critical role in disruptive dynamics as well as turbulent transport in tokamaks. While the nonlinear evolution of ballooning modes has been proposed as a mechanism for detonation…

Plasma Physics · Physics 2018-05-02 Ge Dong , Jian Bao , Amitava Bhattacharjee , Zhihong Lin

We investigate the processes that lead to the generation of mean flows in two-dimensional anelastic convection. The simple model consists of a plane layer that is rotating about an axis inclined to gravity. The results are two-fold: firstly…

Fluid Dynamics · Physics 2016-02-29 Laura K. Currie , Steven M. Tobias

We propose a theory for erosional channelization induced by fluid flow in a saturated granular porous medium. When the local fluid flow-induced stress is larger than a critical threshold, grains are dislodged and carried away so that the…

Pattern Formation and Solitons · Physics 2010-09-06 Amala Mahadevan , L. Mahadevan

The dynamics of fluctuating electric field structures in the edge of the TJ-II stellarator, that display zonal flow-like traits, is studied. These structures have been shown to be global and affect particle transport dynamically [J.A.…

In shear flows at transitional Reynolds numbers, localized patches of turbulence, known as puffs, coexist with the laminar flow. Recently, Avila et al., Phys. Rev. Let. 110, 224502 (2013) discovered two spatially localized relative periodic…

Fluid Dynamics · Physics 2017-09-28 Nazmi Burak Budanur , Björn Hof

We apply lattice Boltzmann methods to study the segregation of binary fluid mixtures under oscillatory shear flow in two dimensions. The algorithm allows to simulate systems whose dynamics is described by the Navier-Stokes and the…

Soft Condensed Matter · Physics 2009-11-07 Aiguo Xu , G. Gonnella , A. Lamura

Toroidal vortices in fluid and gas dynamics underpin a broad spectrum of scientific and technological fields, from elementary particle physics to condensed matter systems, and have recently garnered significant attention in optics because…

Observations of brown dwarfs and relatively isolated young extrasolar giant planets have provided unprecedented details to probe atmospheric dynamics in a new regime. Questions about mechanisms governing global circulation remain to be…

Earth and Planetary Astrophysics · Physics 2022-03-22 Xianyu Tan

We investigate the non-linear equilibration of a two-layer quasi-geostrophic flow in a channel forced by an imposed unstable zonal mean flow, paying particular attention to the role of bottom friction. In the limit of low bottom friction,…

Fluid Dynamics · Physics 2015-06-22 Antoine Venaille , Louis-Philippe Nadeau , Geoffrey K. Vallis

The main objective of this article is to derive a mathematical theory associated with the nonlinear stability and dynamic transitions of the basic shear flows associated with baroclinic instability, which plays a fundamental role in the…

Atmospheric and Oceanic Physics · Physics 2017-05-24 Ming Cai , Marco Hernandez , KiahWah Ong , Shouhong Wang

Topological mosaic pattern (TMP) can be formed in two-dimensional (2D) moir\'e superlattices, a set of periodic and spatially separated domains with distinct topologies give rise to periodic edge states on the domain walls. In this study,…

Materials Science · Physics 2023-07-12 Haonan Wang , Li Yang

For a system of Brownian particles interacting via a soft exponential potential we investigate the interaction between equilibrium crystallization and spatially varying shear flow. For thermodynamic state points within the liquid part of…

Soft Condensed Matter · Physics 2017-11-07 Alberto Scacchi , Joseph M. Brader

Flow networks are essential for both living organisms and enginneered systems. These networks often present complex dynamics controlled, at least in part, by their topology. Previous works have shown that topologically complex networks…

Soft Condensed Matter · Physics 2020-03-24 Miguel Ruiz-Garcia , Eleni Katifori

We establish a criterion for the existence of a topological horseshoe in a class of planar systems generated by periodic switching between two subsystems, each admitting a family of closed orbits, where the mechanism for chaos arises from…

Dynamical Systems · Mathematics 2026-04-30 Junfeng Cheng , Xiao-Song Yang