论文标题
全球麦克斯韦附近的多组分气体的BGK模型
BGK model for multi-component gases near a global Maxwellian
论文作者
论文摘要
在本文中，当初始数据是全局平衡的小扰动时，我们建立了对\ cite {mixModel}建议的多组分BGK模型的独特全球经典解决方案的存在。为此，我们仔细分析了线性多组分放松操作员的耗散性质，并观察到，从种类内部和种间的部分耗散以互补方式组合在一起，以互补的方式组合，以使模型的避免耗散速度与分配速率相同的分配速率增加，使得分布速率增加了量的分配速率，增加。
In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in \cite{mixmodel} when the initial data is a small perturbation of global equilibrium. For this, we carefully analyze the dissipative nature of the linearized multi-component relaxation operator, and observe that the partial dissipation from the intra-species and the inter-species linearized relaxation operators are combined in a complementary manner to give rise to the desired dissipation estimate of the model We also observe that the convergence rate of the distribution function increases as the momentum-energy interchange rate between the different components of the gas increases.
