Nonlinear waves in the Hall magnetic hydrodynamics

Travelling Waves in Nonlinear Magnetic Metamaterials

In this article, a model of one-dimensional metamaterial formed by a discrete array of nonlinear resonators is considered. The existence and uniqueness results of periodic and asymptotic travelling waves of the system are presented. The existence and the stability of asymptotic waves are also computed and discussed numerically. J. Diblík Department of Mathematics, Faculty of Electrical Engineer...

Hydrodynamics of the quantum hall smectics.

We propose a dynamical theory of the stripe phase arising in a two-dimensional electron liquid near half-integral fillings of high Landau levels. The system is modeled as a novel type of a smectic liquid crystal with Lorentz force dominated dynamics. We calculate the structure factor, the dispersion relation of the collective modes, and their intrinsic attenuation rate. We show that thermal flu...

On Nonlinear Water Waves in a Channel

Hydrodynamics of nanoscopic capillary waves.

The dynamics of nanoscopic capillary waves on simple liquid surfaces is analyzed using molecular dynamics simulations. Each Fourier mode of the surface is obtained from the molecular positions, and its time behavior compared with the hydrodynamic prediction. We trace the transition from propagating to overdamped modes, at short wavelengths. The damping rate is in very good agreement with the hy...

The hydrodynamics of flagellar propulsion: helical waves

The swimming of a micro-organism by the propagation of helical waves on a long slender flagellum is analysed. The model developed by Higdon (1979) is used to study the motion of an organism with a spherical cell body (radius A ) propelled by a cylindrical flagellum (radius a, length L). The average swimming speed and power consumption are calculated for helical waves (amplitude a, wavenumber k)...