Boundary layer of the Boltzmann equation in 2-dimensional convex domains
نویسندگان
چکیده
Consider the stationary Boltzmann equation in 2D convex domains with diffusive boundary condition. In this paper, we establish hydrodynamic limits while layers are present, and derive steady Navier-Stokes-Fourier system non-slip conditions. Our contribution focuses on novel weighted $W^{1,\infty}$ estimates for Milne problem geometric correction. Also, develop stronger remainder based an $L^{2m}-L^{\infty}$ framework.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2021
ISSN: ['2157-5045', '1948-206X']
DOI: https://doi.org/10.2140/apde.2021.14.1363