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Metastability Results for a Class of Linear Boltzmann Equations.
- Source :
-
Annales Henri Poincaré . Nov2023, Vol. 24 Issue 11, p4013-4067. 55p. - Publication Year :
- 2023
-
Abstract
- We consider a semiclassical linear Boltzmann model with a non-local collision operator. We provide sharp spectral asymptotics for the small spectrum in the low temperature regime from which we deduce the rate of return to equilibrium as well as a metastability result. The main ingredients are resolvent estimates obtained via hypocoercive techniques and the construction of sharp Gaussian quasimodes through an adaptation of the WKB method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 24
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 172916570
- Full Text :
- https://doi.org/10.1007/s00023-023-01334-w