Hyperbolic Model Reduction for Kinetic Equations
Statistical Mechanics
2020-05-26 v2 Computational Physics
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.2001.10370,
title = {Hyperbolic Model Reduction for Kinetic Equations},
author = {Zhenning Cai and Yuwei Fan and Ruo Li},
journal= {arXiv preprint arXiv:2001.10370},
year = {2020}
}