Explicit Spectral Gap Estimates for the Linearized Boltzmann Operator Modeling Reactive Gaseous Mixtures
Abstract
Abstract. We consider hard-potential cutoff multispecies Boltzmann operators modeling microscopic binary elastic collisions and bimolecular reversible chemical reactions inside a gaseous mixture. We prove that the spectral gap estimate derived for the linearized elastic collision operator can be exploited to deduce an explicit negative upper bound for the Dirichlet form of the linearized reactive Boltzmann operator. This estimate may be used to quantify explicitly the rate of convergence of close-to-equilibrium solutions to the reactive Boltzmann equation toward the global chemical equilibrium of the mixture.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Radiative Heat Transfer Studies
Numerical methods in inverse problems
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 2
- Pages
- 1405–1435
- Publication date
- 7 April 2026
- Language
- EN