论文标题
在间隔内存在非线性BGK方程的非平衡稳态
Existence of a Non-Equilibrium Steady State for the Non-linear BGK equation on an interval
论文作者
论文摘要
我们在具有扩散边界条件的间隔内显示了一维非线性BGK模型的非平衡稳态。这些边界条件代表了系统在不同温度下的两个热源库的耦合。我们的分析不会在平衡周围扰动。我们采用固定点论点来减少模型的研究，并通过非线性碰撞相互作用与线性BGK。
We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions represent the coupling of the system with two heat reservoirs at different temperatures. Our analysis is not perturbative around the equilibrium. We employ a fixed point argument to reduce the study of the model with non-linear collisional interactions to the linear BGK.
