Publication Cover
Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 17
80
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Boltzmann equation for a binary gas mixture with perturbed reflection boundary conditions

&
Pages 6222-6236 | Received 24 Feb 2021, Accepted 14 Apr 2021, Published online: 26 Apr 2021

References

  • Grad H. Asymptotic theory of the Boltzmann equation II, in Rarefied Gas Dynamics, 3rd Symposium. Paris; 1962. p. 26–59.
  • Grad H. Principles of the kinetic theory of gases, in Handbuch der Physik. S. FLÜGGE editors. Springer-Verlag; 1958. p. 205–294. vol. 12.
  • Bardos C, Caflisch R, Nicolaenko B. The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Comm Pure Appl Math. 1986;39:323–352.
  • Coron F, Golse F, Sulem C. A classification of well-posed kinetic layer problems. Comm Pure Appl Math. 1988;41:409–435.
  • Ukai S, Yang T, Yu SH. Nonlinear boundary layers of the Boltzmann equation: I. existence.. Comm Math Phys. 2003;236.
  • Liu TP, Yu SH. Invariant manifolds for steady Boltzmann flows and applications. Arch Rational Mech Anal. 2013;209:869–997.
  • Golse F, Perthame B, Sulem C. On a boundary layer problem for the nonlinear Boltzmann equation. Arch Rational Mech Anal. 1988;103(1):81–96.
  • Aoki K, Bardos C, Takata S. Knudsen layer for gas mixtures. J Stat Phys. 2003;112:629–655.
  • Bardos C, Yang XF. The classification of well-posed kinetic boundary layer for hard sphere gas mixtures, comm. Partial Differ Equ. 2012;37(7):1286–1314.
  • Aoki K, Lin YC, Wu KC. Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture. J Differ Equ. 2020;269:257–287.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.