An inhomogeneous half-space containing a cavity is bonded to a homogeneous halfspace. Waves are incident on the interface and the problem is to calculate the scattered waves. For a circular cavity in an exponentially graded half-space, it is shown how to solve the problem by constructing an appropriate set of multipole functions. These functions are singular on the axis of the cavity, they sati...

The magnetism of the t − t ′ Hubbard model Abstract The magnetic properties of the t − t ′ Hubbard model in the two dimensional square lattice are studied within an unrestricted Hartree Fock approximation in real space. The interplay between antiferromagnetism, ferromagnetism, phase separation and in-homogeneous magnetic textures is studied. It is shown that, at sufficiently large values of t ′...

Dispersion of Love waves is studied in a self-reinforced layer lying over an elastic non-homogeneous half space. The wave velocity equation is found to be in perfect agreement with the corresponding classical result when the anisotropic elastic parameters tend to zero. Dispersion curves for the shear wave velocity ratio and the effect of anisotropy and heterogeneity have been shown graphically....

the use of gis tools is one of the newest methods for performance of different land evaluation and planning projects. this research with the purpose of determination of appropriate landuse to natural land potential and improvement of land management of catchments was executed using gis-tools in taleghan area. at first ecological and socio-economic resources determined, mapped and entered to gis...

we shall give a lower estimate of harmonic‎ ‎functions of order greater than one in a half space‎, ‎which‎ ‎generalize the result obtained by b‎. ‎ya‎. ‎levin in a half plane‎.

A boundary-domain integral equation for a coated half-space (elastically isotropic homogeneous substratum, possibly anisotropic coating layer) is developed. The half-space fundamental solution is used, so that the discretization is limited to the potential contact zone (boundary elements), the potentially plastic part of the substratum and the coating layer (domain integration cells). Steady-st...