Exterior problem for the Boltzmann equation with temperature difference : asymptotic stability of steady solutions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3642-3688 |
| Journal / Publication | Journal of Differential Equations |
| Volume | 262 |
| Issue number | 6 |
| Publication status | Published - 15 Mar 2017 |
Link(s)
Abstract
The asymptotic stability of non-equilibrium steady solutions to the exterior problem for the Boltzmann equation was first proved by Ukai and Asano in [17], under the assumption that the temperature associating with the far-field Maxwellian and the one preserved by the kinetic boundary condition are the same. In this paper, we generalize Ukai and Asano's result in the sense that the two temperatures mentioned above are allowed to be different. The proof of the main theorem is based on the ideas developed in [16,17] and [20] as well as some new observations.
Research Area(s)
- Asymptotic stability, Boltzmann equation, Exterior problem, Steady solutions, Temperature difference
Citation Format(s)
Exterior problem for the Boltzmann equation with temperature difference : asymptotic stability of steady solutions. / Jia, Xuanji.
In: Journal of Differential Equations, Vol. 262, No. 6, 15.03.2017, p. 3642-3688.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
