Convergence to self-similar solutions for the homogeneous Boltzmann equation
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) | 2241-2267 |
| Journal / Publication | Journal of the European Mathematical Society |
| Volume | 19 |
| Issue number | 8 |
| Online published | 27 Jun 2017 |
| Publication status | Published - Aug 2017 |
Link(s)
| DOI | DOI |
|---|---|
| Document Link | Links
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85021816879&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(bccae648-37f0-409f-a01c-14a3a36be32b).html |
Abstract
The Boltzmann H-theorem implies that the solution to the Boltzmann equation tends to an equilibrium, that is, a Maxwellian when time tends to infinity. This has been proved in varies settings when the initial energy is finite. However, when the initial energy is infinite, the time asymptotic state is no longer described by a Maxwellian, but a self-similar solution obtained by Bobylev–Cercignani. The purpose of this paper is to rigorously justify this for the spatially homogeneous problem with a Maxwellian molecule type cross section without angular cutoff.
Research Area(s)
- Infinite energy, Measure valued solution, Self-similar solutions, Time asymptotic states
Bibliographic Note
Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).
Citation Format(s)
Convergence to self-similar solutions for the homogeneous Boltzmann equation. / Morimoto, Yoshinori; Yang, Tong; Zhao, Huijiang.
In: Journal of the European Mathematical Society, Vol. 19, No. 8, 08.2017, p. 2241-2267.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
