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Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The…

Classical Physics · Physics 2018-08-29 S. Quiligotti , G. Maugin , F. dell'Isola

Linear waves in bounded inviscid fluids do not generally form normal modes with regular eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a spherical annulus, and internal gravity waves in a stratified…

Astrophysics · Physics 2016-08-30 Gordon I. Ogilvie

Within the convection zone of a rotating star, the presence of the Coriolis force stabilizes long-wavelength convective modes. These modes, which would have been unstable if the star lacked rotation, are called overstable convective modes…

Solar and Stellar Astrophysics · Physics 2023-05-15 Bradley W. Hindman , Rekha Jain

Spherical Couette flow (flow between concentric rotating spheres) is one of flows under consideration for the laboratory magnetic dynamos. Recent experiments have shown that such flows may excite Coriolis restored inertial modes. The…

Recent research has shed light on the role of coherent structures in forming layers when stably stratified turbulence is forced with horizontal shear (Lucas, Caulfield & Kerswell, J. Fluid Mech., vol. 832, 2017, pp. 409-437). Here we extend…

Fluid Dynamics · Physics 2019-05-01 Dan Lucas , C. P. Caulfield , Rich R. Kerswell

This paper considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. We prove the existence of a global continuum of classical solutions that are periodic…

Analysis of PDEs · Mathematics 2009-02-11 Samuel Walsh

I present results from a set of 3D spherical-shell MHD simulations of the buoyant rise of active region flux tubes in the solar interior which put new constraints on the initial twist of the subsurface tubes in order for them to emerge with…

Solar and Stellar Astrophysics · Physics 2009-01-23 Y. Fan

An experimental study is reported of the near-critical reflection of internal gravity waves over sloping topography in a stratified fluid. An overturning instability close to the slope and triggering the boundary-mixing process is observed…

Fluid Dynamics · Physics 2007-05-23 Thierry Dauxois , Anthony Didier , Eric Falcon

This paper is devoted to the study of water waves under the influence of the gravity and the Coriolis force. It is quite common in the physical literature that the rotating shallow water equations are used to study such water waves. We…

Analysis of PDEs · Mathematics 2016-09-12 Benjamin Melinand

Planetary rotation organizes fluid motions into coherent, long-lived swirls, known as large-scale vortices (LSVs), which play an important role in the dynamics and long-term evolution of geophysical and astrophysical fluids. Here, using…

Fluid Dynamics · Physics 2020-06-18 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars

Influence of Coriolis force on propagation and reflection of the stimulated long waves generated pulsing and harmonic concentrated sources is studied. Geostrophic stream are found, is received asymptotics for transition mode. It is…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Astashenok , A. Zaitsev

Topology sheds new light on the emergence of unidirectional edge waves in a variety of physical systems, from condensed matter to artificial lattices. Waves observed in geophysical flows are also robust to perturbations, which suggests a…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Pierre Delplace , J. B. Marston , Antoine Venaille

We study the tidal forcing, propagation and dissipation of linear inertial waves in a rotating fluid body. The intentionally simplified model involves a perfectly rigid core surrounded by a deep ocean consisting of a homogeneous…

Earth and Planetary Astrophysics · Physics 2015-05-13 Gordon I. Ogilvie

The goal of this paper is to describe in mathematical terms the effect on the ocean circulation of a random stationary wind stress at the surface of the ocean. In order to avoid singular behaviour, non-resonance hypotheses are introduced,…

Analysis of PDEs · Mathematics 2012-07-03 Anne-Laure Dalibard

The Earth is a rapidly rotating body. The centrifugal pull makes its shape resemble a flattened ellipsoid and Coriolis forces support waves in its fluid core, known as inertial waves. These waves can lead to global oscillations, or modes,…

Earth and Planetary Astrophysics · Physics 2019-05-13 Santiago Andres Triana , Jeremy Rekier , Antony Trinh , Veronique Dehant

Thermal atmospheric tides can torque telluric planets away from spin-orbit synchronous rotation, as observed in the case of Venus. They thus participate to determine the possible climates and general circulations of the atmospheres of these…

Earth and Planetary Astrophysics · Physics 2018-02-07 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar

This paper concerns the interaction between non-axisymmetric inertial waves and their corotation resonances in a hydrodynamical disk. Inertial waves are of interest because they can localise in resonant cavities circumscribed by Lindblad…

High Energy Astrophysical Phenomena · Physics 2010-11-02 Henrik Latter , Steven Balbus

The turbulent diffusion tensor describing the evolution of the mean concentration of a passive scalar is investigated for non-helically forced turbulence in the presence of rotation or a magnetic field. With rotation, the Coriolis force…

Solar and Stellar Astrophysics · Physics 2009-05-09 Axel Brandenburg , Andreas Svedin , Geoffrey M. Vasil

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

We study transverse fast magnetohydrodynamic waves in a system of two coronal loops modeled as smoothed, dense plasma cylinders in a uniform magnetic field. The collective oscillatory properties of the system due to the interaction between…

Astrophysics · Physics 2009-11-13 M. Luna , J. Terradas , R. Oliver , J. L. Ballester