Maxwell-Stefan diffusion asymptotics for gas mixtures in non-isothermal setting

作者：Hutridurga Harsha; Salvarani Francesco^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2017, 159: 285-297.

DOI：10.1016/j.na.2017.03.019

• Maxwell-Stefan system
• Boltzmann equation
• Binary diffusion coefficients

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 the Boltzmann model under diffuse scaling to arrive at the proposed coupled system.

• 出版日期2017-8