Abstract

This combined numerical/laboratory study investigates the effect of stratification form on shoaling characteristics internal solitary waves propagating over a smooth, linear topographic slope. Three types are investigated, namely (i) thin tanh (homogeneous upper and lower layers separated by pycnocline), (ii) surface (linearly stratified layer overlaying homogeneous layer) (iii) broad (continuo...

The theory of low-frequency internal gravity waves (IGWs) is readdressed in the stable stratified weakly ionized Earth’s ionosphere. formation dipolar vortex structures and their dynamical evolution as well emergence chaos wave–wave interactions are studied both presence absence Pedersen conductivity. latter shown to inhibit solitary vortices onset chaos.

Internal solitary waves commonly observed in the coastal ocean are oftenmodeled by a nonlinear evolution equation of the Korteweg–de Vries type. Because these waves often propagate for long distances over several inertial periods, the effect of Earth’s background rotation is potentially significant. The relevant extension of the Kortweg–de Vries is then the Ostrovsky equation, which for interna...

Through an Hamiltonian action we write down the system of equations of motions for a mixture of thermocapillary fluids under the assumption that the internal energy is a function not only of the gradient of the densities but also of the gradient of the entropies of each component. A Lagrangian associated with the kinetic energy and the internal energy allows to obtain the equations of momentum ...