The Boltzmann equation with weakly inhomogeneous data in bounded domain
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2038-2057 |
| Journal / Publication | Journal of Functional Analysis |
| Volume | 272 |
| Issue number | 5 |
| Publication status | Published - 1 Mar 2017 |
| Externally published | Yes |
Link(s)
Abstract
This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior in the case that the initial data is close enough to a radially symmetric homogeneous datum. The result extends the case of Cauchy problem considered by Arkeryd–Esposito–Pulvirenti [4] to the specular reflection boundary value problem in bounded domain.
Research Area(s)
- L2−L∞ approach, Specular reflection boundary condition, Weakly inhomogeneous data
Bibliographic Note
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Citation Format(s)
The Boltzmann equation with weakly inhomogeneous data in bounded domain. / Guo, Yan; Liu, Shuangqian.
In: Journal of Functional Analysis, Vol. 272, No. 5, 01.03.2017, p. 2038-2057.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
