Loop Quantum Cosmology (LQC), mainly due to Bojowald, is not the cosmological sector of Loop Quantum Gravity (LQG). Rather, LQC consists of a truncation of the phase space of classical General Relativity to spatially homogeneous situations which is then quantized by the methods of LQG. Thus, LQC is a quantum mechanical toy model (finite number of degrees of freedom) for LQG (a genuine QFT with ...

singularity based on fractal and multifractal is a technique for detection of depletion and enrichment for geochemical exploration, while the index of vertical geochemical zonality (vz) of pb.zn/cu.ag is a practical method for exploration of blind porphyry copper mineralization. in this study, these methods are combined for recognition, delineation, and enrichment of vz in jebal- barez in the s...

Crack propagation in viscoelastic materials has been understood with the use of Barenblatt cohesive models by many authors since 1970’s. In polymers and metal creep, it is customary to assume that relaxed modulus zero, so we have typically a crack speed which depends on some power stress intensity factor. Generally, when there finite modulus, shown “apparent” toughness semi-infinite increases b...

We study the stability of the isotropic vacuum Friedmann universe in gravity theories with higherorder curvature terms of the form (RabR ) added to the Einstein-Hilbert Lagrangian of general relativity on approach to an initial cosmological singularity. Earlier, we had shown that, when n = 1, a special isotropic vacuum solution exists which behaves like the radiation-dominated Friedmann univers...

Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N − 1)-dimensional Lobachevsky space HN−1, N = n + l. It is shown that for n > 1 the oscillating behaviour near the singularity is absent and solutions have an a...

A difficulty in the classical hydrodynamic analysis of moving contact-line problems, associated with the no-slip wall boundary condition resulting in an unbalanced divergence of the viscous stresses, is reexamined with a smoothed, finite-width interface model. The analysis in the sharp-interface limit shows that the singularity of the viscous stress can be balanced by another singularity of the...

We attempt to understand the fate of spacelike gravitational singularities in string theory via the quantum stress tensor for string matter in a fixed background. We first approximate the singularity with a homogeneous anisotropic background and review the minisuperspace equations describing the evolution of the scale factors and the dilaton. We then review and discuss the behavior of large str...

We study the thermoelastic deformation of an elastic layer. The upper surface of the medium is subjected to a uniform thermal field along a circular area while the layer is resting on a rigid smooth circular base. The doubly mixed boundary value problem is reduced to a pair of systems of dual integral equations. The both system of the heat conduction and the mechanical problems are calculated b...

Recent years saw a rise in the application of bonding techniques engineering industry. This fact is due to various advantages this technique when compared traditional joining methods, such as riveting or bolting. The growth methods demands faster and more powerful tools analyze behavior products. For that reason, adhesive joints have been subject intensive investigation over past few years. Rec...