Abstract In our paper, we consider the mixed problem in context of Green-Naghdi theory thermoelastic Cosserat media. Using very accessible mathematical calculations, prove two qualitative results on solutions formulated problem. Thus, first these approaches, obtain a result stability, Hölder type, with regards to loads. second main result, continuous dependence regarding initial values from It ...

Nicolai's theorem suggests a simple stochastic interpetation for supersymmetric Eu-clidean quantum theories, without requiring any inner product to be defined on the space of states. In order to apply this idea to supergravity, we first reduce to a one-dimensional theory with local supersymmetry by the imposition of homogeneity conditions. We then make the supersymmetry rigid by imposing gauge ...

We present a generic algorithm for generating Gaussian random initial conditions for cosmological simulations on periodic rectangular lattices. We show that imposing periodic boundary conditions on the real-space correlator and choosing initial conditions by convolving a white noise random field results in a significantly smaller error than the traditional procedure of using the power spectrum....

this paper reviews the current literature examining the pervasive symptom of fatigue experienced in three of the most common degenerative neurological conditions: multiple sclerosis (ms), parkinson’s disease (pd) and post-polio syndrome (pps). the existing literature can be considered under four headings definition and prevalence, type, cause, impact of fatigue. fatigue is a common symptom in d...

Econometricians may feel that imposing inequality restrictions improves statistical efficiency, but no real empirical evidence exists. The results of a Monte Carlo experiment show that imposing the curvature conditions on a system of demand equations improves the MSEs on estimated elasticities from 3 to 50% depending on the signal-to-noise ratio and the sample size.  2001 Elsevier Science B.V....

For many years, the most active area of quantum cosmology has been the issue of choosing boundary conditions for the wave function of a universe. Recently, loop quantum cosmology, which is obtained from loop quantum gravity, has shed new light on this question. In this case, boundary conditions are not chosen by hand with some particular physical intuition in mind, but they are part of the dyna...

In this article it is shown that for specific initial conditions an input beam injected in a Multimode Periodic Segmented Waveguides (MPSW) does not diffract and remains collimated all along the waveguide whereas a speckle like pattern is expected at the output of a multimode structure. This nonintuitive behavior can be explained with the help of ray and wave chaos properties. A modal analysis ...

A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the L function used in point process theory in spatial ecology. It is shown that clustering persists ...

A spatially two-dimensional sixth order PDE describing the evolution of a growing crystalline surface h(x, y, t) that undergoes faceting is considered with periodic boundary conditions, such as its reduced onedimensional version. These equation are expressed in terms of the slopes u1 = hx and u2 = hy to establish the existence of global, connected attractors for both of the equations. Since uni...

Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract Analytical solutions for the variance, covariance, and spectrum of groundwater level, h(x, t), in an unconfined aquifer described by a linearized Boussinesq equation with random source/sink and initial and boundary cond...