The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves. MSC: 35Q35, 35Q53, 3...

This study describes the turbulent processes in the upper ocean boundary layer forced by a constant surface stress in the absence of the Coriolis force using large-eddy simulation. The boundary layer that develops has a two-layer structure, a well-mixed layer above a stratified shear layer. The depth of the mixed layer is approximately constant, whereas the depth of the shear layer increases wi...

This paper explores the effect of rotation on the κ-mechanism instability of slowly pulsating B stars. A new nonadiabatic code, that adopts the so-called ‘traditional approximation’ to treat the Coriolis force, is used to investigate the influence exerted by rotation over the stability of stellar models covering the mass range 2.5M⊙ 6 M∗ 6 13.0M⊙. The principal finding is that, for all modes co...

In numerical computations of astrophysical flows one frequently has to deal with situations which require the use of a corotating coordinate system. Then, in addition to the centrifugal force, the Coriolis terms have to be included in the Navier-Stokes equations. In usual numerical treatments of solving the equations of motion these non-inertial forces are included explicitly as source terms. I...

1. Forward reaching movements made during body rotation generate tangential Coriolis forces that are proportional to the cross product of the angular velocity of rotation and the linear velocity of the arm. Coriolis forces are inertial forces that do not involve mechanical contact. Virtually no constant centrifugal forces will be present in the background when motion of the arm generates transi...

This paper presents detailed performance status and projections for the silicon MEMS Quadruple Mass Gyroscope (QMG) – a unique high Q, lumped mass, mode-symmetric Class II Coriolis Vibratory Gyroscope (CVG) with interchangeable whole angle, self-calibration, and force rebalance mechanizations. Analysis of a QMG sealed without getter with a Q-factor of 1e3 reveals an Angle Random Walk (ARW) of 0...

We show how geophysics can illustrate and thus improve classical mechanics lectures concerning the study of Coriolis force effects. Here, we are interested in atmospheric and oceanic phenomena, with which we are familiar, and which are for that reason of pedagogical and practical interest. Our aim is to model them in a very simple way to bring out the physical phenomena that are involved.

We investigate the properties of r-mode and inertial mode of slowly rotating, non-isentropic, Newtonian stars, by taking account of the effects of the Coriolis force and the centrifugal force. The Coriolis force is the dominant restoring force for both r-mode and inertial mode, which are also called rotational mode in this paper. For the velocity field produced by the oscillation modes the r-mo...

Context. Secondary stars in dwarf novae are strongly irradiated during outbursts. It has been argued that this could result in an enhancement of the mass transfer rate even though the L1 region is shadowed from the primary irradiation by the accretion disc. Previous investigations of the possibility of a circulation flow transporting heat from hot regions to L1 gave opposite answers. Aims. We i...