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Problem of evaporation-condensation for a two component gas in the slab
This paper studies the non linear Boltzmann equation for a two component gas
in the situation of hard spheres.
A Hilbert expansion of the solution is performed. The first order of the fluid equations
shows the ghost effect. The fluid system is solved when the boundary conditions are close to each other.
The boundary conditions for the kinetic system are satisfied by adding for the first and the second
order Knudsen layers. In a last part the rest term is rigorously controled by using a decomposition into a
low part velocity and a high part velocity. This constitutes a generalization
to the case of a two component gas of the results presented in [15,16].