期刊
KINETIC AND RELATED MODELS
卷 8, 期 3, 页码 493-531出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2015.8.493
关键词
Quantum Boltzmann equation; rate of convergence to equilibrium; algebraic decay
资金
- MICINN, Spain [2011-29306-C02-00, MTM2011-29306-C02-00]
- Basque Government Grant [IT641-13, PI2010-04]
- ERC Advanced Grant [FP7-246775 NUMERIWAVES]
- MINECO, Spain [SEV-2013-0323]
We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that describes the distribution of quasipartides in a dilute gas of bosons at low temperature. The corresponding collision frequency is neither bounded from below nor from above. We prove the existence and uniqueness of solutions satisfying the conservation of energy. We show that these solutions converge to the corresponding stationary state, at an algebraic rate as time tends to infinity.
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