Local existence with mild regularity for the 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) | 1011-1041 |
| Journal / Publication | Kinetic and Related Models |
| Volume | 6 |
| Issue number | 4 |
| Online published | Nov 2013 |
| Publication status | Published - Dec 2013 |
Link(s)
Abstract
Without Grad's angular cutoff assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two new improvements: the index of Sobolev spaces for the solution is related to the parameter of the angular singularity; moreover, we do not assume that the initial data is close to a global equilibrium. Using the energy method, one important step in the analysis is the study of fractional derivatives of the collision operator and related commutators © American Institute of Mathematical Sciences.
Research Area(s)
- Boltzmann equation, Energy estimates, Existence of solution, Fractional derivatives
Citation Format(s)
Local existence with mild regularity for the Boltzmann equation. / Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji et al.
In: Kinetic and Related Models, Vol. 6, No. 4, 12.2013, p. 1011-1041.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
