论文标题
在描述气体行为的动力学方程式上主要与辐射相互作用
On a kinetic equation describing the behavior of a gas interacting mainly with radiation
论文作者
论文摘要
在本文中，我们研究了一个动力学模型，该模型描述了气体与辐射之间的相互作用。具体而言，我们考虑了一个比例限制，其中气体与光子之间的相互作用的发生速度要比气体分子本身之间的碰撞快得多。在统一的情况下，我们证明了极限问题的解决方案解决了一个动态理论的动力学方程。获得了与新动力学方程的收敛证明，以分析稳态慢流层附近的气体系统动力学。
In this article we study a kinetic model which describes the interaction between a gas and radiation. Specifically, we consider a scaling limit in which the interaction between the gas and the photons takes place much faster than the collisions between the gas molecules themselves. We prove in the homogeneous case that the solutions of the limit problem solve a kinetic equation for which a well-posedness theory is considered. The proof of the convergence to a new kinetic equation is obtained analyzing the dynamics of the gas-photon system near the slow manifold of steady states.
