Convergence to equilibrium of some kinetic models
We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very w...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/521 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/521 |
| Access Level: | acceso abierto |
| Palabra clave: | Boltzmann equation Goldstein-Taylor model Hard potential Rate of convergence to equilibrium Soft potential |
| Sumario: | We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very well not only for hypocoercive systems in which the coercive parts are degenerate but also for the linearized Boltzmann equation. |
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