Abstract
This article deals with a boundary-layer problem arising in the kinetic theory of gases when the mean free path of molecules tends to zero. The model considered here is the stationary, nonlinear Boltzmann equation in one dimension with a slightly perturbed reflection boundary condition. We restrict our attention to the case of hard spheres collisions, with Grad's cutoff assumption. Existence, uniqueness and asymptotic behavior are derived by means of energy estimates.
| Original language | English |
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| Pages (from-to) | 81-96 |
| Number of pages | 16 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 103 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Mar 1988 |