Positive solutions and hydrodynamic limit of the steady Boltzmann equation with in-flow boundary

DOI10.1080/00036811.2021.1906417zbMath1497.35335OpenAlexW3140110221MaRDI QIDQ5037944

Chenghong Wang, Fujun Zhou, Wei-Jun Wu

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1906417

zbMATH Keywords

steady Boltzmann equationincompressible Navier-Stokes-Fourier limitpositivity preserving schemein-flow boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Boltzmann equations (35Q20) Diffusive and convective heat and mass transfer, heat flow (80A19)

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