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Near-critical behavior of the free surface of an ideally conducting liquid in an external electric field is considered. Based on an analysis of three-wave processes using the method of integral estimations, sufficient criteria for hard…

Fluid Dynamics · Physics 2009-11-10 N. M. Zubarev , O. V. Zubareva

We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

Analysis of PDEs · Mathematics 2025-01-14 Claudiu Mîndrilă , Arnab Roy

Several recent imaging experiments access the equilibrium density profiles of interacting particles confined to a two-dimensional substrate. When these particles are in a fluid phase, we show that such data yields precise information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

We develop a self-consistent theory of temporal fluctuations of a speckle pattern resulting from the multiple scattering of a coherent wave in a weakly nonlinear disordered medium. The speckle pattern is shown to become unstable if the…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. E. Skipetrov , R. Maynard

We describe how a convectively unstable active field in an open flow configuration becomes absolutely unstable due to local mixing. A representation of the mixing region as those with locally enhanced effective diffusion allows us to find…

Pattern Formation and Solitons · Physics 2008-04-13 Arthur V. Straube , Arkady Pikovsky

The traditional approach in the study of hydrodynamic stability of stratified fluids includes the stick boundary conditions between layers. However, this rule may be violated in polymer systems and as a consequence various instabilities may…

Fluid Dynamics · Physics 2015-06-10 Stanislav Patlazhan

We study the effects of surface tension between normal and superfluid regions of a trapped Fermi gas at unitarity. We find that surface tension causes notable distortions in the shape of large aspect ratio clouds. Including these…

Other Condensed Matter · Physics 2007-05-23 Theja N. De Silva , Erich J. Mueller

When a liquid slams into a solid, the intermediate gas is squeezed out at a speed that diverges when approaching the moment of impact. Although there is mounting experimental evidence that instabilities form on the liquid interface during…

Fluid Dynamics · Physics 2023-06-22 Devaraj van der Meer

The effect of viscous drag and surface tension on the nonlinear two fluid inter facial structures induced by Rayleigh -Taylor instability and Richtmyer-Meshkov instability are investigated.Viscosity and surface tension play important roles…

Plasma Physics · Physics 2015-05-27 M. R. Gupta , Rahul Banerjee , L. K. Mandal , R. Bhar , H. C. Pant , Manoranjan Khan , M. K. Srivastava

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

Analysis of PDEs · Mathematics 2018-03-14 Ian Tice

An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power-law relation between the pre-stretches is assumed and it is shown that this assumption is well-motivated physically…

Classical Physics · Physics 2008-12-09 J. G. Murphy , M. Destrade

We consider the Muskat problem with surface tension for one fluid or two fluids, with or without viscosity jump, with infinite depth or Lipschitz rigid boundaries, and in arbitrary dimension $d$ of the interface. The problem is nonlocal,…

Analysis of PDEs · Mathematics 2020-07-23 Huy Q. Nguyen

Surface patterns on ablating materials are observed in high-speed ground and flight tests, but the mechanisms behind their formation are not known. In this paper, the origin of surface patterns is investigated via a local linear stability…

Fluid Dynamics · Physics 2026-01-14 Blaine Vollmer , Alberto Padovan , Daniel J. Bodony

Applying the method of integral estimates to the analysis of three-wave processes we derive the sufficient criteria for the hard loss of stability of the charged plane surface of liquids with different physical properties. The influence of…

Fluid Dynamics · Physics 2009-11-10 N. M. Zubarev , O. V. Zubareva

Laboratory studies reveal a deformational instability that leads to a drained region (dry spot) in an initially flat liquid layer (with a free upper surface) heated uniformly from below. This long-wavelength instability supplants hexagonal…

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

We review three different types of viscoelastic surface instabilities: The Rayleigh -- Plateau, the Saffman -- Taylor and the Faraday instability. These instabilities are classical examples of hydrodynamic surface instabilities. The…

Fluid Dynamics · Physics 2015-05-14 A. Lindner , C. Wagner

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

The squeezing of soft solids, the constrained growth of biological tissues, and the swelling of soft elastic solids such as gels can generate large compressive stresses at their surfaces. This causes the otherwise smooth surface of such a…

Soft Condensed Matter · Physics 2014-07-09 Tuomas Tallinen , John S. Biggins , L. Mahadevan

Coupling between chemical fuel consumption and phase separation can lead to condensation at a nonequilibrium steady state, resulting in phase behaviors that are not described by equilibrium thermodynamics. Theoretical models of such…

Soft Condensed Matter · Physics 2025-05-23 Yongick Cho , William M. Jacobs
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