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Aligned superhydrophobic surfaces with the same texture orientation reduce drag in the channel and generate secondary flows transverse to the direction of the applied pressure gradient. Here we show that a transverse shear can be easily…

In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to…

Classical Physics · Physics 2016-03-02 Giuseppe Rosi , Nicolas Auffray

The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, growth of bacterial colonies. Since a scalar equation generates usually…

Analysis of PDEs · Mathematics 2014-01-31 Michal Kolwalczyk , Benoit Perthame , Nicolas Vauchelet

In this presentation, we analytically derive the dispersion equation for surface waves traveling along reactive boundaries which are periodically modulated in time. In addition, we show numerical results for the dispersion curves and…

Optics · Physics 2021-08-03 Xuchen Wang , Mohammad S. Mirmoosa , Sergei A. Tretyakov

In phases where translations are spontaneously broken, new gapless degrees of freedom appear in the low energy spectrum (the phonons). At long wavelengths, they couple to small fluctuations of the conserved densities of the system. This…

High Energy Physics - Theory · Physics 2020-01-08 Andrea Amoretti , Daniel Areán , Blaise Goutéraux , Daniele Musso

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The imposed strain creates a counterflow that stretches…

Fluid Dynamics · Physics 2022-12-14 Jonathan L. Palafoutas , William A. Sirignano

Linear analysis of gas flows around orbiting binaries suggests that a centrifugal barrier ought to clear a low-density cavity around the binary and inhibit mass transfer onto it. Modern hydrodynamics simulations have confirmed the…

Astrophysics of Galaxies · Physics 2022-06-15 Christopher Tiede , Jonathan Zrake , Andrew MacFadyen , Zoltan Haiman

In the framework of the concept of time correlation functions, we develop a self-consistent relaxation theory of the transverse collective particle dynamics in liquids. The theory agrees with well-known results in both the short-wave (free…

Soft Condensed Matter · Physics 2021-03-11 A. V. Mokshin , R. M. Khusnutdinoff , Ya. Z. Vilf , B. N. Galimzyanov

Steady simple shear flow of a low-density binary mixture of inelastic smooth hard spheres is studied in the context of the Boltzmann equation. This equation is solved by using two different and complementary approaches: a Sonine polynomial…

Soft Condensed Matter · Physics 2009-11-07 J. M. Montanero , V. Garzo

Near the horizon of a black brane in Anti-de Sitter (AdS) space and near the AdS boundary, the long-wavelength fluctuations of the metric exhibit hydrodynamic behaviour. The gauge-gravity duality then relates the boundary hydrodynamics for…

High Energy Physics - Theory · Physics 2009-03-27 Ram Brustein , A. J. M. Medved

Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of…

Soft Condensed Matter · Physics 2015-06-03 Hiizu Nakanishi , Shin-ichiro Nagahiro , Namiko Mitarai

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

The linearised time dependent coupled Gross-Pitaevskii equations describing the long wavelength excitations of Bose-condensed binary mixtures are solved, in the bulk and in harmonic traps for the case where only the binary phase is present.…

Condensed Matter · Physics 2016-08-31 Robert Graham , Dan Walls

When a massive object crosses a star stream velocity changes are induced both along and transverse to the stream which can lead to the development of a visible gap. For a stream narrow relative to its orbital radius the time of stream…

Astrophysics of Galaxies · Physics 2015-06-16 R. G. Carlberg

This work is concerned with the propagation of electromagnetic waves in isotropic chiral media and with the effects produced by a plane boundary between two such media. In analogy with the phenomena of reflection and refraction of plane…

Optics · Physics 2007-05-23 Jose F. Nieves , Palash B. Pal

In this paper we discuss the uniaxial propagation of transient waves within a semi-infinite viscoelastic Bessel medium. First, we provide the analytic expression for the response function of the material as we approach the wave-front. To do…

Mathematical Physics · Physics 2017-05-22 Ivano Colombaro , Andrea Giusti , Francesco Mainardi

In a frame of quasi-crystal approximation the dispersion equations are obtained for the wave vector of a coherent electromagnetic wave propagating in a media which contains a random set of parallel dielectric cylinders with possible…

Optics · Physics 2007-05-23 Nadejda L. Cherkas

A theoretical model is developed by exploiting the variational technique to investigate the evolution of an optical beam inside an optically pumped graded-index fiber amplifier. The variational analysis is a semi-analytical method that…

Optics · Physics 2023-10-24 Anuj P. Lara , Samudra Roy , Govind P. Agrawal

The transverse and longitudinal current correlation functions are evaluated in liquid and amorphous sodium by computer simulation. The study of the corresponding spectra as a function of the wavevector $k$ allows the evaluation of a…

Soft Condensed Matter · Physics 2015-09-11 Giulia De Lorenzi-Venneri , Renzo Vallauri

We study how tides in a binary system induce some specific internal shear mixing, able to substantially modify the evolution of close binaries prior to mass transfer. We construct numerical models accounting for tidal interactions,…

Solar and Stellar Astrophysics · Physics 2015-06-16 H. F. Song , A. Maeder , G. Meynet , R. Q. Huang , S. Ekström , A. Granada
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