| Abstract: |
| We consider the stationary Boltzmann equation in one spatial dimension and use the Green`s function approach to construct invariant manifolds. The enter manifold corresponds to fluid-like waves. Of particular interest is the coupling of Knudsen-type boundary layer with fluid-like waves. As a corollary of our analysis, it is shown that Boltzmann shock profiles are monotone. There is a striking bifurcation phenomenon on the change of wave patterns with respect to small perturbation of the flux. |
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