Fluid–structure interaction between a pendulum and monochromatic waves

On Monochromatic Ascending Waves

A sequence of positive integers w1, w2, . . . , wn is called an ascending wave if wi+1 − wi ≥ wi − wi−1 for 2 ≤ i ≤ n − 1. For integers k, r ≥ 1, let AW (k; r) be the least positive integer such that under any r-coloring of [1, AW (k; r)] there exists a k-term monochromatic ascending wave. The existence of AW (k; r) is guaranteed by van der Waerden’s theorem on arithmetic progressions since an ...

Elastic waves as a Foucault pendulum?

The rotation of the Earth leads to a change in the equation of motion because of the Coriolis force. We study how Earth’s rotation affects elastic wave propagation. We show that the Coriolis force does not deflect seismic rays because the medium that carries the waves moves with Earth’s rotation. However, Earth’s rotation causes a weak traverse component of P-waves and a weak longitudinal compo...

Resonant interaction between gravitational waves, electromagnetic waves and plasma flows

In magnetized plasmas gravitational and electromagnetic waves may interact coherently and exchange energy between themselves and with plasma flows. We derive the wave interaction equations for these processes in the case of waves propagating perpendicular respectively parallel with the plasma background magnetic field. In the latter case, the electromagnetic waves are taken to be circularly pol...

Interaction between gravitational waves and domain walls

We study the gravitational perturbations of thick domain walls. The refraction index and spin properties of the solutions interior to the wall are analyzed in detail. It is shown that the gravitational waves suffer a refraction process by domain walls. The reflection and transmission coefficients are derived in the thin wall limit. In relation to the spin content, it is shown that the “×” helic...

Dynamic Analysis of the Interaction Between Water Waves and Offshore Structures