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The self-gravitating instability of a compressible-inviscid fluid cylinder immersed into a self-gravitating tenuous medium of negligible motion is developed. The stability criterion is derived based on the linear perturbation technique.…

Fluid Dynamics · Physics 2007-05-23 Ahmed E. Radwan , Gamal G. L. Nashed

We study the notion of stochastic stability with respect to diffusive perturbations for flows with smooth invariant measures. We investigate the question fully for non-singular flows on the circle. We also show that volume-preserving flows…

Dynamical Systems · Mathematics 2011-12-02 Sergiu Aizicovici , Todd Young

A self-trapped Bose-Einstein condensate is shown to be stabilized in two-dimensional free space by Rabi oscillations between two hyperfine states which make an effective interatomic interaction oscillate in time. The stabilization mechanism…

Other Condensed Matter · Physics 2009-11-13 Hiroki Saito , Randall G. Hulet , Masahito Ueda

We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we identify exponential decay of solutions with growing time.

Analysis of PDEs · Mathematics 2023-02-07 Kaïs Ammari , Fathi Hassine , Luc Robbiano

We consider the size distribution of superbubbles in a star forming galaxy. Previous studies have tried to explain the distribution by using adiabatic self-similar evolution of wind driven bubbles, assuming that bubbles stall when pressure…

Astrophysics of Galaxies · Physics 2020-04-23 Biman B Nath , Pushpita Das , M. S. Oey

The occurrence of swarms of small bubbles in a variety of industrial systems enhances their performance. However, the effects that size polydispersity may produce on the stability of kinematic waves, the gain factor, mean bubble velocity,…

Fluid Dynamics · Physics 2016-08-16 E. Salinas-Rodríguez , R. F. Rodríguez , J. M. Zamora , A. Soria

Flocculation is the process whereby particles (i.e., flocs) in suspension reversibly combine and separate. The process is widespread in soft matter and aerosol physics as well as environmental science and engineering. We consider a general…

Analysis of PDEs · Mathematics 2015-07-28 Inom Mirzaev , David M. Bortz

A method is provided for approximating random slow manifolds of a class of slow-fast stochastic dynamical systems. Thus approximate, low dimensional, reduced slow systems are obtained analytically in the case of sufficiently large time…

Dynamical Systems · Mathematics 2013-03-12 Jian Ren , Jinqiao Duan , Christopher K. R. T. Jones

A refined hydrochemical model for single-bubble sonoluminescence (SBSL) is presented. The processes of water vapor evaporation and condensation, mass diffusion, and chemical reactions are taken into account. Numerical simulations of Xe-,…

Fluid Dynamics · Physics 2007-05-23 Li Yuan

The fluid dynamics video show a gas stream which is injected into a packed bed immersed in water and fluid dynamcis video present the dynamics involved. The refractive index of the water an the packed bed are quite similar and the edges of…

Fluid Dynamics · Physics 2010-10-21 Enrique Soto , Alicia Aguilar-Corona , Roberto Zenit

Many two-phase materials suffer from grain-growth due to the energy cost which is associated with the interface that separates both phases. While our understanding of the driving forces and the dynamics of grain growth in different…

Soft Condensed Matter · Physics 2019-07-24 Anniina Salonen , Cyprien Gay , Armando Maestro , Wiebke Drenckhan , Emmanuelle Rio

Thermally bistable fluid tends to self-organize into clouds of hot and cold material, which are internally uniform and separated by thin conduction fronts. The evolution of these clouds has been studied for isobaric systems, but when…

Plasma Physics · Physics 2024-07-18 Henry Fetsch , Nathaniel J. Fisch

We examine bosonic atoms that are confined in a toroidal, quasi-one-dimensional trap, subjected to a random potential. The resulting inhomogeneous atomic density is smoothened for sufficiently strong, repulsive interatomic interactions.…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , G. M. Kavoulakis

Motivated by recent experiments in Bose-Einstein condensed atoms that have been confined in toroidal traps, we examine the stability of persistent currents in such systems. We investigate the extent that the stability of these currents may…

Other Condensed Matter · Physics 2009-11-13 M. Ogren , G. M. Kavoulakis

A trapped Bose-Einstein condensate, being strongly perturbed, exhibits several spatial structures. First, there appear quantum vortices. Increasing the amount of the injected energy leads to the formation of vortex tangles representing…

Quantum Gases · Physics 2015-06-04 V. I. Yukalov , A. N. Novikov , V. S. Bagnato

Particles confined in droplets are called compound particles. They are encountered in various biological and soft matter systems. Hydrodynamics can play a decisive role in determining the configuration and stability of these multiphase…

Soft Condensed Matter · Physics 2019-08-23 Sravana Chaithanya , Sumesh P Thampi

Glass-forming liquids grow dramatically sluggish upon cooling. This slowdown has long been thought to be accompanied by a growing correlation length. Characteristic dynamical and static length scales, however, have been observed to grow at…

Disordered Systems and Neural Networks · Physics 2016-08-22 Patrick Charbonneau , Ethan Dyer , Jaehoon Lee , Sho Yaida

Magnetic droplets are non-topological magnetodynamical solitons displaying a wide range of complex dynamic phenomena with potential for microwave signal generation. Bubbles, on the other hand, are internally static cylindrical magnetic…

We unravel the existence and stability properties of one-dimensional droplets arising in genuine two-component particle imbalanced bosonic mixtures under the influence of a weak harmonic confinement. A plethora of miscible droplet phases is…

Quantum Gases · Physics 2025-02-04 Efstathios G. Charalampidis , Simeon I. Mistakidis

In this study, we examine the linear stability of an axisymmetric Taylor bubble moving steadily in a flowing liquid enclosed in a circular tube. Linearisation is performed about axisymmetric base states obtained in Part I of this study by…

Fluid Dynamics · Physics 2021-09-21 Habib Abubakar , Omar Matar