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...

Radiation boundary conditions appear in a wide variety of physical problems involving wave propagation [ 1,2]. For these problems, boundary conditions should be specified for dynamical quantities propagating on characteristics entering the domain of integration, while no boundary conditions are necessary for quantities propagating on characteristics leaving the domain. If the domain of integrat...

non-fourier heat transfer analysis of functionally graded (fg) spherical shells subjected to the radiative-convective boundary conditions at their inner and outer surfaces are presented. it is assumed that the material properties have continuous variations along the thickness direction. the incremental differential quadrature method (idqm) as an accurate and computationally efficient numerical ...

the aim of the present paper is to study the cu-water nanofluid flow and heat transfer characteristics of a stretching permeable cylinder. thermal radiation effect is considered in energy equation. the governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations with the appropriate boundary conditions using similari...

An analytic solution is presented describing ̄ow to a drain in a semi-in®nite domain bounded by a leaky layer of constant thickness. The solution is developed by applying the method of images to two parallel boundaries: an inhomogeneity boundary and an equipotential boundary. It is then demonstrated that the solution for the problem with the leaky layer approximated by a leaky boundary (a mixed...

For one-dimensional p-Laplacian with weights in Lγ : L 0, 1 ,R 1 ≤ γ ≤ ∞ balls, we are interested in the extremal values of the mth positive half-eigenvalues associated with Dirichlet, Neumann, and generalized periodic boundary conditions, respectively. It will be shown that the extremal value problems for half-eigenvalues are equivalent to those for eigenvalues, and all these extremal values a...

Immersing a physical system in a heat bath results in the fields acquiring different properties according to their statistics. E.g., finite-temperature bosonic fields obey periodic boundary conditions, while fermionic fields satisfy antiperiodic b.c.’s. Such a distinction can be seen also at the level of the Green’s functions. Depending on the field’s statistics, thermal propagators obey either...