论文标题
动力学方程的双曲模型降低
Hyperbolic Model Reduction for Kinetic Equations
论文作者
论文摘要
我们简要介绍了将动力学方程减少到动力学方程的时刻模型，尤其是毕业生的矩矩方法的方法。重点放在还原模型的双曲线上，这对于其经典解决方案作为库奇问题至关重要。然后引入了我们去年我们开发的框架的理论，这可以保留具有高通用性动力学方程的双曲线性质。提出了具有/没有双曲线的模型之间比较的最新进展，以验证稀有气体的双曲矩模型。
We make a brief historical review to the moment model reduction to the kinetic equations, particularly the Grad's moment method for Boltzmann equation. The focus is on the hyperbolicity of the reduced model, which is essential to the existence of its classical solution as a Cauchy problem. The theory of the framework we developed in last years is then introduced, which may preserve the hyperbolic nature of the kinetic equations with high universality. Some lastest progress on the comparison between models with/without hyperbolicity is presented to validate the hyperbolic moment models for rarefied gases.
