The Singular Perturbation Solution Of Boltzmann Equations For A Gas-Mixture

In article [3],the author discussed the normal solution of the Boltzmann equation for small knudsen number with a kind of singular perturbation method .His method is an improvement of the Hilbert expansion and Enskog expansion.It is proved that the secular terms in the normal solution be removed.He solved the Boltzmann equation for a simple gas.In this article , We discuss the Boltzmann equations for a gas-mixture.In which,we formulate the Boltzmann equations with Fourier transform,expand the new functions,get several approximations. The coefficient in the function is uncertain. Choosing a suitable condition to avoid the secular terms in the normal solution. We get its initial layer solutions and boundary layer solution for small knudsen number.This solution is an improvement of classical normal soluiton for a gas-mixture.