Semi-classical measures for generalized plane waves

On Plane Waves for Mode-I Crack Problem in Generalized Thermoelasticity

A general model of the equations of generalized thermoelasticity   for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is   homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...

Generalized Tchakaloff’s Theorem for Semi-spectral Measures

We proved the existence of exact quadrature formulae with semipositive definite coefficient matrices for polynomials of prescribed degree in n variables and with respect to a semi-spectral measure. Our proof could be viewed as a direct translation (generalization) of Putinar’s result on the existence of quadrature formulae for a positive measure without compact support.

Semi Classical Measures and Maxwell's System

We are interested in the homogenization of energy like quantities for electromagnetic waves in the high frequency limit for Maxwell's equations with various boundary conditions. We use a scaled variant of H-measures known as semi classical measures or Wigner measures. Firstly, we consider this system in the half space of R 3 in the time harmonic and with conductor boundary condition at the flat...

Semi-classical Measures for Inhomogeneous Schrödinger Equations on Tori

Detection of Gravitational waves with semi classical features and cosmological implications (of such semi classical features)

We argue in this document that initial vacuum state values possibly responsible for GW generation in relic conditions in the initial onset of inflation may have a temporary unsqueezed , possibly even coherent initial value, which would permit in certain models classical coherent initial gravitational wave states Furthermore, several arguments pro and con as to if or not initial relic GW should ...