与激发相互作用的玻色凝聚--接近平衡态的两分量空间相关模型
Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium
摘要：
本文考虑了一个玻色气体模型，该模型在低于Tc的所谓“高温区”中，其中玻色-爱因斯坦凝聚开始。该模型是非线性的两组分型，由一个动力学方程和周期性边界条件组成，该方程描述了玻色凝聚与激发态气体相互作用的分布函数，并由Gross-Pitaevskii方程描述。结果的适定性和长时间的行为证明在H1设置接近平衡。
英文摘要：
The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a H1-setting close to equilibrium.
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