The group properties of the shallow-water equations with complete Coriolis force is subject this study. In particular we apply Lie theory to classify system three nonlinear partial differential according admitted point symmetries. For each case classification problem one-dimensional optimal determined. results are applied for derivation new similarity solutions.

This paper represents a MEMS based gyroscope to measure orientation. Silicon-micro-machined gyro is fabricated on the basis of resonators and they use vibrating mechanical element to sense rotation. The vibratory measurement can be done by measuring the change in capacitance with respect to the voltage or force applied in particular axis. Here MEMS based gyroscope has been designed from Lame mo...

Recently, a number of authors have used global particle tracking simulations to identify the effect that different surface currents on marine litter accumulation, including role waves through Stokes drift. However, in upper-ocean boundary layer and presence Coriolis force, wave-driven Eulerian flow forms must be superimposed onto drift order obtain correct Lagrangian velocity. Taking into accou...

The main objective of this investigation to examine the momentum and thermal transportation rotating dusty micropolar fluid flux with suspension conducting dust particles across stretched sheet. novelty flow model is exploration significance boosting volume concentration in dynamics. governing PDEs problem for both phase models are transmuted into nonlinear coupled non-dimensional ODEs by utili...

A rotating dusty plasma apparatus was constructed to provide the possibility of experimental emulation of extremely high magnetic fields by means of the Coriolis force, observable in a corotating measurement frame. We present collective excitation spectra for different rotation rates with a magnetic induction equivalent of up to 3200 T. We identify the onset of magnetoplasmon-equivalent mode di...

Abstract. A derivation of the Ostrovsky equation for internal waves with methods Hamiltonian water wave dynamics is presented. The formed at a pycnocline or thermocline in ocean influenced by Coriolis force Earth's rotation. arises long and small amplitude approximation certain geophysical scales physical variables.

This paper describes a unique capacitively-sensed MEMS-based gyroscope, which utilizes rotating carrier rotate as driven force and responds to an external angular rate of yaw due to the Coriolis Effect. The basic construction and operating principles of the gyroscope are described and illustrated. MEMS-based gyroscope output is presented at different yaw angular acceleration. The raw results ob...

If uncorrected, the Coriolis force due to the rotation of the Earth causes significant aberration of images produced by large liquid-mirror telescopes. We show that this problem can be eliminated by a fixed compensating tilt of the liquidmirror rotation axis. The required tilt angle, which is a function of latitude and mirror rotation rate, is of order 10 arcsec for current telescopes. This res...

We study the problem of the continuous dependence of weak and strong solutions to the initial boundary value problem for multidimensional marine riser equations on the parameters of the equation. The continuous dependence of solutions on the coefficient of the effective tension, on the coefficient of the nonlinear drag, and on the coefficients of the Coriolis force is established. © 2011 Elsevi...