breaking waves have ability to transport large quantities of sediment and significant impact on coastal structures morphology. hence, modeling of wave breaking is an important subject in coastal and marine engineering. in this research, the periodic wave breaking process on a plane slope is studied experimentally and numerically. laboratory experiments were conducted to record water surface ele...

We show that viscoelastic effects play a crucial role in the damping of vibrational modes harmonic amorphous solids. The relaxation given plane wave is described by memory function semi-infinite one-dimensions mass-spring chain. initial energy spreads from first site chain to infinity. In beginning chain, there barrier, which significantly reduces decay below Ioffe-Regel frequency. To obtain pa...

A time-harmonic plane acoustic wave is scattered by a piecewise homogeneous obstacle with penetrable or impenetrable core. We construct in the close form an integral representation for far field pattern which we have incorporated physical and geometrical characteristics of scatterer. Through this representation, obtain prove scattering relations between patterns two problems due to distinct inc...

The exact spheroidal-function series solution for the time-harmonic acoustic scattering of a plane wave by two fluid confocal prolate spheroids is developed and numerical implementation formulated validated independent methods. define three regions in which fields are expanded terms spheroidal functions multiplied unknown coefficients. These expansions forced to satisfy boundary conditions usin...

The first author proved that the harmonic convolution of a normalized right half-plane mapping with either another normalized right halfplane mapping or a normalized vertical strip mapping is convex in the direction of the real axis. provided that it is locally univalent. In this paper, we prove that in general the assumption of local univalency cannot be omitted. However, we are able to show t...