论文标题
硬球动力学模型的Maxwell-Stefan扩散极限
The Maxwell-Stefan Diffusion Limit of a Hard-Sphere Kinetic Model for Mixtures
论文作者
论文摘要
我们研究了在等温条件下具有硬球横截面的单变性气体的非反应性混合物的动力学模型。通过考虑动力学模型的扩散缩放并使用矩方法,我们从物种的连续性和动量平衡方程中正式获得,因为缩放参数归为零,Maxwell-Stefan扩散方程,具有显式表达的扩散系数。
We study a kinetic model for non-reactive mixtures of monatomic gases with hard-sphere cross-sections under isothermal condition. By considering a diffusive scaling of the kinetic model and using the method of moments, we formally obtain from the continuity and momentum balance equations of the species, in the limit as the scaling parameter goes to zero, the Maxwell-Stefan diffusion equations, with an explicit expression for the diffusion coefficients.