Passage from the Boltzmann Equation with Diffuse Boundary to the Incompressible Euler Equation with Heat Convection
نویسندگان
چکیده
We derive the incompressible Euler equations with heat convection no-penetration boundary condition from Boltzmann equation diffuse in hydrodynamic limit for scale of large Reynold number. Inspired by recent framework [30], we consider Navier-Stokes-Fourier system no-slip conditions as an intermediary approximation and develop a Hilbert-type expansion around global Maxwellian that allows nontrivial transfer limit. To justify our limit, new direct estimate flux its derivatives is established adopting Green's function approach study inviscid
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ژورنال
عنوان ژورنال: Social Science Research Network
سال: 2023
ISSN: ['1556-5068']
DOI: https://doi.org/10.2139/ssrn.4364436