论文标题
一类线性玻尔兹曼方程的亚竞争性结果
Metastability results for a class of linear Boltzmann equations
论文作者
论文摘要
我们考虑具有非本地碰撞操作员的半经典线性玻尔兹曼模型。我们在低温方向上为小光谱提供了尖锐的光谱渐近，从中我们推断出对平衡的回报率以及亚稳定性结果。主要成分是通过低焦虑技术获得的解决估计值，以及通过适应WKB方法的尖锐高斯准植物的构建。
We consider a semiclassical linear Boltzmann model with a non local collision operator. We provide sharp spectral asymptotics for the small spectrum in the low temperature regime from which we deduce the rate of return to equilibrium as well as a metastability result. The main ingredients are resolvent estimates obtained via hypocoercive techniques and the construction of sharp Gaussian quasimodes through an adaptation of the WKB method.
