116 citations · 387 across the 27 of their papers we have counts for
9 papers · 1 filter
Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
Yana Di, Yuwei Fan, Ruo Li +1
Grad's moment models for Boltzmann equation were recently regularized to globally hyperbolic systems, and thus the regularized models attain local well-posedness for Cauchy data. T…
13-Moment System with Global Hyperbolicity for Quantum Gas
Yana Di, Yuwei Fan, Ruo Li
We point out that the quantum Grad's 13-moment system [R. Yano, Physica A: Statistical Mechanics and its Applications, 416:231-241, 2014] is lack of global hyperbolicity, and even…
Model Reduction of Kinetic Equations by Operator Projection
Yuwei Fan, Julian Koellermeier, Jun Li +2
By a further study of the mechanism of the hyperbolic regularization of the moment system for Boltzmann equation proposed in [Z. Cai, Y. Fan, R. Li, Comm. Math. Sci. 11(2): 547-571…
A Framework on Moment Model Reduction for Kinetic Equation
Zhenning Cai, Yuwei Fan, Ruo Li
By a further investigation on the structure of the coefficient matrix of the globally hyperbolic regularized moment equations for Boltzmann equation in [Z. Cai, Y. Fan and R. Li, C…
On Hyperbolicity of 13-Moment System
Zhenning Cai, Yuwei Fan, Ruo Li
We point out that the thermodynamic equilibrium is not an interior point of the hyperbolicity region of Grad's 13-moment system. With a compact expansion of the phase density, whic…
Globally Hyperbolic Moment System by Generalized Hermite Expansion
Yuwei Fan, Ruo Li
In a recent paper [Z.-N. Cai, Y.-W. Fan, and R. Li. Tech Report, Institude of Math, Peking Univeristy(2013)], it was revealed that a modified 13-moment system taking intrinsic heat…
Quantum Hydrodynamic Model by Moment Closure of Wigner Equation
Zhenning Cai, Yuwei Fan, Ruo Li +2
In this paper, we derive the quantum hydrodynamics models based on the moment closure of the Wigner equation. The moment expansion adopted is of the Grad type firstly proposed in \…
Globally Hyperbolic Regularization of Grad's Moment System
Zhenning Cai, Yuwei Fan, Ruo Li
In this paper, we propose a globally hyperbolic regularization to the general Grad's moment system in multi-dimensional spaces. Systems with moments up to an arbitrary order are st…
Globally Hyperbolic Regularization of Grad's Moment System in One Dimensional Space
Zhenning Cai, Yuwei Fan, Ruo Li
In this paper, we present a regularization to 1D Grad's moment system to achieve global hyperbolicity. The regularization is based on the observation that the characteristic polyno…