On a boundary layer problem for the nonlinear Boltzmann equation |
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Authors: | Francois Golse Benoit Perthame Catherine Sulem |
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Institution: | (1) Centre de Mathématiques Appliquées, Ecole Normale Supérieure, Paris;(2) Department of Mathematics, Ben Gurion University, Beer Sheva, Israel |
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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. |
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