Incompressible Navier-Stokes-Fourier limit of 3D stationary Boltzmann equation
نویسندگان
چکیده
We consider the 3D stationary Boltzmann equation in convex domains with diffuse-reflection boundary condition. rigorously derive steady incompressible Navier-Stokes-Fourier system and justify asymptotic convergence as Knudsen number $ {\varepsilon} shrinks to zero. The proof is based on an intricate analysis of layers geometric correction focuses technical difficulties caused by singularity collision kernel k(v,v') perturbed remainder estimates.
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ژورنال
عنوان ژورنال: Kinetic and Related Models
سال: 2023
ISSN: ['1937-5077', '1937-5093']
DOI: https://doi.org/10.3934/krm.2023026