We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Hölder continuously differentiable.

contrary to the long period ground motions that can be predicted and estimated, high frequency ground motions have random character and behave stochastically. stochastic modeling methods are usually used for the modeling of high frequency ground motions where there are not strong ground motion records. stochastic methods are of two kinds: in the first one, the seismic source is considered as a ...

The propagation of borehole Stoneley waves is strongly correlated with permeability of the formation. Previous studies primarily focused on the situation where the permeability is homogeneously distributed in the formation. In many in-situ situations, however, the permeability distribution of the formation is heterogeneous, due to effects such as a damaged zone around the borehole, random varia...

The present paper deals with the generation of Love waves in a layer of finite thickness over an initially stressed heterogeneous semi-infinite media. The rigidity and density of the layer are functions of temperature, i.e. they are temperature dependent.  The lower substratum is an initially stressed medium and its rigidity and density vary linearly with the depth. The frequency relation of Lo...

Turbulence is a very nonequilibrium state of nature, which becomes stationary if energy is supplied permanently at large scales. To construct a theory of turbulence means to describe temporal and spatial distributions of velocity and variety of different thermodynamic characteristics of the fluid, i.e., density if turbulence is compressible, temperature if thermo-advection is applied, relative ...

We show that a micropolar fluid model successfully describes granular flows on a slope. Micropolar fluid is the fluid with internal structures, and the coupling between the rotation of each particle and the macroscopic velocity field is taken into account; it is a hydrodynamical framework suitable for granular systems which consists of particles with macroscopic size. It is demonstrated that th...

This paper examines in detail the characteristics of a leaky Lamb wave propagating in a piezoelectric plate immersed in a dielectric or conductive fluid. The analysis is based on the partial wave analysis and its numerical calculations. Some corrections have been made so that both the changes in phase velocity and the wave attenuation of leaky Lamb waves caused by fluid’s mechanical, dielectric...