Abstract. A mathematical model is proposed where the classical Maxwell-Stefan diffusion model for gas mixtures is coupled to an advection-type equation for the temperature of the physical system. This coupled system is derived from first principles in the sense that the starting point of our analysis is a system of Boltzmann equations for gaseous mixtures. We perform an asymptotic analysis on t...

let r be a g-graded ring and m be a g-graded r-module. in this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules.

We present a quantized quasinormal mode approach to rigorously describe coupled lossy resonators and quantify the quantum coupling parameters as function of distance between resonators. also make direct connection classical theories, offering new insights into open cavities. detailed calculations for microdisk show striking interference effects that depend on phase modes, an effect is significa...