The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of Boltzmann equation. Chapman- Enskog method is used calculate distribution function. components energy–momentum tensor found knowledge and equilibrium Maxwell–Jüttner functions. linearized field for mass, momentum internal energy densities coupled with three Poisson appro...

The closed forms of the non-resonant thermonuclear function in Maxwell–Boltzmann and Tsallis case with depleted tail are obtained generalized special functions. results written terms H-function two variables. importance this paper lies fact that reaction rate probability integrals Maxwell-Boltzmann cases not by conventional method approximation or means a single variable transform technique but...

A 2D analytical method for magnetic vector potential calculation in inner rotor surface mounted and surface inset permanent magnet machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson equations as well as Maxwell equation in quasi- Cartesian coordinate by using...

this deals with the harmonic forced vibration of a circular plate surface bonded by two piezoelectric layers, based on the kirchhoff plate model. the form of electric potential field in the piezoelectric layer is assumed such that the maxwell static electricity equation is satisfied. the differential equations of motion are solved analytically for clamped edge boundary condition of the plate. t...

New solutions of relativistic wave equations are obtained in a unified manner from generating functions spinorial variables. The choice as Gaussians leads to representations the form generalized fractional Fourier transforms. Wave satisfying Dirac, Maxwell, and Weyl constructed by simple differentiations with respect arguments. In simplest case, one obtains Maxwell Dirac hopfion solutions.

Material property viscoelastic inversion studies often rely on the continuous -time framework for Fourier analysis, which may not accurately represent real experimentally collected data. In this paper, we address discrete and finite nature of functions obtained from experiments discuss impact these characteristics frequency spectrum analysis. We derive equations Discrete-Time Transform (DTFT) a...

In this work we calculate the functional generator of the Green’s functions of the Kalb-Ramond field in 3 + 1 dimensions. We also calculate the functional generator, and corresponding Casimir energy, of the same field when it is submitted to boundary conditions on two parallel planes. The boundary conditions we consider can be interpreted as a kind of conducting planes for the field in compeari...