Young Researchers Workshop: Stochastic and deterministic methods in kinetic theory

On the stability of the moment models for kinetic equation

Yuwei Fan

Stanford University


We first prove that the hyperbolic moment equations(HME), a globally hyperbolic moment system resulted by a hyperbolic fix on the Grad's moment method, satisfies Yong's first stability condition. By a further investigation on the structure of the coefficient matrix and the collision term of HME, we propose a uniform framework to carry out model reduction to generic kinetic equations, to obtain a not only symmetric hyperbolic but also satisfying Yong's first stability condition moment system.