We present discrete energy decay results for the Yee scheme applied to Maxwell’s equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for the Yee scheme in the corresponding media. In particular, we show that the stability conditions are the same as those for the Yee scheme in a nondispersive dielectric. However, energy decay for the Maxwell-Debye and Ma...

Landfill cover soils oxidize a considerable fraction of the methane produced by landfilled waste. Despite many efforts this oxidation is still poorly quantified. In order to reduce the uncertainties associated with methane oxidation in landfill cover soils, a simulation model was developed that incorporates Stefan-Maxwell diffusion, methane oxidation, and methanotrophic growth. The growth model...

This paper explores the mathematical formulations of Fick and MaxwellStefan diffusion in the context of polymer electrolyte membrane fuel cell cathode gas diffusion layers. Formulations of diffusion combined with mass-averaged Darcy flow are considered for three component gases. Fick formulations can be considered as approximations of Maxwell-Stefan in a certain sense. For this application, the...

B [±] deformation factor cL [eq(H )/l] H ion exchange capacity related to catalyst volume ct [mol/l] total molar concentration Deff [m /s] effective transport coefficient D [m/s] transport coefficient in gel phase or liquid phase ÐDij [m /s] binary Maxwell-Stefan diffusion coefficient of pair i-j m1 [±] volumetric distribution ratio of component 1 N [±] number of components N1 [mol/(m 2 s)] mol...

A lattice Boltzmann scheme is developed for homogeneous mixture modeling, based on the multiple-relaxation-time (MRT) formulation, which fully recovers the Maxwell-Stefan diffusion model in the continuum limit with (a) external force and (b) tunable Schmidt number. The theoretical basis of the proposed MRT formulation is a recently proposed Bhatnagar-Gross-Krook-type kinetic model for gas mixtu...

we introduce and discuss the homotopy perturbation method, the adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. then, we give an example of the stefan problem with  kinetics and solve it by these methods.

This paper concerns the energy conservation for weak solutions to Navier–Stokes–Maxwell system. Although Maxwell equation with hyperbolic nature, we still establish a L q p type condition guarantee validity of equality solutions. We mention that there no regularity assumption on electric field E.