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Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly-nonlinear and exact nonlinear equations of motion are derived by the…

Fluid Dynamics · Physics 2016-09-08 V. P. Ruban

We show that the optical properties of an oblique layered system with two kinds of isotropic materials can be described using the concept of transformation media as long as the thickness of the layers is much smaller than the wavelength.…

Optics · Physics 2008-08-28 Huanyang Chen , C. T. Chan

The study of the response of amorphous materials to oscillatory strain is traditionally performed with many repeated cycles. We argue that it pays to consider carefully just one cycle (and may be a second), to reveal the rich physics that…

Soft Condensed Matter · Physics 2025-05-20 Itamar Procaccia , Tuhin Samanta

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

Steady swimming can be characterized as both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycle?" In this paper we will find that the answer is "yes". We…

Dynamical Systems · Mathematics 2012-12-11 Henry O. Jacobs

Metamaterial cloaking has been proposed and studied in recent years following several interesting approaches. One of them, the scattering-cancellation technique, or plasmonic cloaking, exploits the plasmonic effects of suitably designed…

Classical Physics · Physics 2015-05-19 Andrea Alu , David Rainwater , Aaron Kerkhoff

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinematic (or diffusionless) limit, the phase fronts undergo a…

Pattern Formation and Solitons · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

A new wave energy device features a submerged ballasted air bag connected at the top to a rigid float. Under wave action, the bag expands and contracts, creating a reciprocating air flow through a turbine between the bag and another volume…

Fluid Dynamics · Physics 2017-06-21 A. Kurniawan , J. R. Chaplin , M. R. Hann , D. M. Greaves , F. J. M. Farley

Ostrovsky's equation with time- and space- dependent forcing is studied. This equation is model for long waves in a rotating fluid with a non-constant depth (topography). A classification of Lie point symmetries and low-order conservation…

Mathematical Physics · Physics 2022-02-22 Stephen C. Anco , Maria Gandarias

Although infinite cylinders are not astrophysical entities, it is possible to learn a great deal about the basic qualitative features of generation of gravitational waves and the behavior of the matter conforming such shells in the limits…

General Relativity and Quantum Cosmology · Physics 2014-11-18 V. H. Hamity , M. A. Cecere , D. E. Barraco

In this paper we present a characterization of the symmetric rotational periodic gravity water waves of finite depth and without stagnation points in terms of the underlying flow. Namely, we show that such a wave is symmetric and has a…

Analysis of PDEs · Mathematics 2014-01-24 Bogdan-Vasile Matioc

Molecular Dynamics simulations of water molecules in nanometre sized cylindrical channels connecting two reservoirs show that the permeation of water is very sensitive to the channel radius and to electric polarization of the embedding…

Soft Condensed Matter · Physics 2009-11-07 Rosalind Allen , Simone Melchionna , Jean-Pierre Hansen

We investigate steady symmetric gravity water waves on finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly…

Mathematical Physics · Physics 2007-12-05 Mats Ehrnstrom

We investigate the hovering dynamics of rigid bodies with up-down asymmetry placed in oscillating background flows. Recent experiments on inanimate pyramid-shaped objects in oscillating flows with zero mean component demonstrate that the…

Fluid Dynamics · Physics 2016-09-21 Yangyang Huang , Monika Nitsche , Eva Kanso

The present study investigates unsteady wake dynamics in flow past oscillating cylinder. Two-dimensional computational study is carried out for flow past sinusoidally oscillating cylinder. Operating parameters like Reynolds number, forcing…

Fluid Dynamics · Physics 2022-01-25 Anubhav Sinha , Parasuram IVLN

Motion in a one-dimensional (1D) microfluidic array is simulated. Water droplets, dragged by flowing oil, are arranged in a single row, and due to their hydrodynamic interactions spacing between these droplets oscillates with a wave-like…

Fluid Dynamics · Physics 2015-06-05 Bin Liu , J. Goree , Yan Feng

This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformed into a quasilinear pseudodifferential…

Analysis of PDEs · Mathematics 2015-05-14 Adrian Constantin , Eugen Varvaruca

We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and…

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

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