where K 1 and K 2 are parameters such that K 1 < 1 thus | m | < 1 2.. Thus, in this model the adiabatic evolution of the system is given by the coupled differential Equations (5) and (7). To study ...

Applying separation of variables to Maxwell equations in time domain one arrives to Klein-Gordon-Fock equation that describes radial wave propagation. The separation parameter for free space case has ...

When the 3D vorticity equation is derived from the 3D vector motion equation in the rotating coordinates (the spherical coordinate system and the height coordinate system), the 3D planetary vorticity, ...

We derive for crystal optics in coordinate-invariant way the cone approximation of refraction vectors in the neighborhood of optic axes and determine its invariants and eigenvectors. It proved to ...

In such coordinate system, the metric takes a simple form, which is helpful for simplifying and solving the Einstein’s field equation. This light-cone coordinate system has wonderful properties and ...

Models for gas–solid reactions in porous particles typically consist of a set of mass and energy balances in the form of conservation equations. For spherical or close to spherical particles, these ...

This paper sets out to present a numerical procedure that solves Poisson’s equation in a spherical coordinate system. To discretize this equation, integration techniques at the interfaces between ...