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Chen, Robin Ming ; Huang, Feimin ; Wang, Dehua ; Yuan, Difan ( , Journal de Mathématiques Pures et Appliquées)
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Huang, Feimin ; Kuang, Jie ; Wang, Dehua ; Xiang, Wei ( , Annals of PDE)
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Guo, Yan ; Huang, Feimin ; Wang, Yong ( , Archive for Rational Mechanics and Analysis)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 L2 to L∞ framework, we establish the validity of the Hilbert expansion for the Boltzmann equation with specular reflection boundary conditions, which leads to derivations of compressible Euler equations and acoustic equations in half-space.more » « less
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Chen, Robin Ming ; Huang, Feimin ; Wang, Dehua ; Yuan, Difan ( , Communications on Pure & Applied Analysis)null (Ed.)