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The Hilbert expansion of the Boltzmann equation in the incompressible Euler level in a channel

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Publication:6661773
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DOI10.1007/s11425-023-2208-3MaRDI QIDQ6661773

Fei-Min Huang, Feng Xiao, Weiqiang Wang, Yong Wang

Publication date: 13 January 2025

Published in: Science China. Mathematics (Search for Journal in Brave)



zbMATH Keywords

Boltzmann equationhydrodynamic limitincompressible Euler equationsHilbert expansionspecular reflection boundary conditionKnudsen boundary layerviscous boundary layer


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Asymptotic expansions of solutions to PDEs (35C20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Liquid-gas two-phase flows, bubbly flows (76T10) Foundations of fluid mechanics (76A02) Euler equations (35Q31) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)








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