Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential
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) | 919-934 |
| Journal / Publication | Kinetic and Related Models |
| Volume | 4 |
| Issue number | 4 |
| Online published | Nov 2011 |
| Publication status | Published - Dec 2011 |
Link(s)
Abstract
In this paper, we consider the Cauchy problem for the non-cutoff Boltzmann equation in the soft potential case. By using a singular change of velocity variables before and after collision, we prove the uniqueness of weak solutions to the Cauchy problem in the space of functions with polynomial decay in the velocity variable. © American Institute of Mathematical Sciences.
Research Area(s)
- Boltzmann equation, Singular change of velocity variables, Uniqueness of solution
Citation Format(s)
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. / ALEXANDRE, Radjesvarane; MORIMOTO, Yoshinori; UKAI, Seiji et al.
In: Kinetic and Related Models, Vol. 4, No. 4, 12.2011, p. 919-934.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
