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A Revisit of the Velocity Averaging Lemma: On the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain.
- Source :
-
Journal of Statistical Physics . Nov2022, Vol. 189 Issue 2, p1-43. 43p. - Publication Year :
- 2022
-
Abstract
- In the present work, we adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the incoming data, with four iterations, we establish regularity in fractional Sobolev space in space variable up to order 1 - . [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOLTZMANN'S equation
*SOBOLEV spaces
*VELOCITY
*CONVEX domains
Subjects
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 189
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 158693531
- Full Text :
- https://doi.org/10.1007/s10955-022-02977-5