Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space

DOI10.1137/20M1362905zbMath1479.35597arXiv1910.05890OpenAlexW3193281225MaRDI QIDQ4958016

Jiawei Zhou, Yong Wang, Guanfa Wang

Publication date: 6 September 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05890

zbMATH Keywords

Boltzmann equationhydrodynamic limita priori estimatecompressible Euler equationsHilbert expansionplanar rarefaction wave

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) Perturbations in context of PDEs (35B20) Euler equations (35Q31) Boltzmann equations (35Q20)

Related Items (2)

Hydrodynamic limit of Boltzmann equations for gas mixture ⋮ Small Knudsen rate of convergence to contact wave for the Landau equation

Cites Work

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