Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space

Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic study of the viscous layer equations and the L 2 to L ∞ framework, we establish the validity of the Hilbert expansion for the Boltzmann equation with specular reflection boundar...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2021-07, Vol.241 (1), p.231-309
Hauptverfasser:	Guo, Yan, Huang, Feimin, Wang, Yong
Format:	Artikel
Sprache:	eng
Schlagworte:	Boltzmann transport equation Boundary conditions Classical Mechanics Complex Systems Compressibility Euler-Lagrange equation Fluid- and Aerodynamics Half spaces Mathematical analysis Mathematical and Computational Physics Physics Physics and Astronomy Specular reflection Theoretical
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