Measure Valued Solutions to the Spatially Homogeneous Boltzmann Equation Without Angular Cutoff
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) | 866-906 |
| Journal / Publication | Journal of Statistical Physics |
| Volume | 165 |
| Issue number | 5 |
| Online published | 5 Nov 2016 |
| Publication status | Published - Dec 2016 |
Link(s)
Abstract
A uniform approach is introduced to study the existence of measure valued solutions to the homogeneous Boltzmann equation for both hard potential with finite energy, and soft potential with finite or infinite energy, by using Toscani metric. Under the non-angular cutoff assumption on the cross-section, the solutions obtained are shown to be in the Schwartz space in the velocity variable as long as the initial data is not a single Dirac mass without any extra moment condition for hard potential, and with the boundedness on moments of any order for soft potential.
Research Area(s)
- Boltzmann equation, Characteristic functions, Homogenuous, Measure valued solutions
Citation Format(s)
Measure Valued Solutions to the Spatially Homogeneous Boltzmann Equation Without Angular Cutoff. / Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong.
In: Journal of Statistical Physics, Vol. 165, No. 5, 12.2016, p. 866-906.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
