246 citations · 723 across the 62 of their papers we have counts for
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An Approximate Analytical Solution to Knudsen Layers
Ruo Li, Yichen Yang
We apply moment methods to obtaining an approximate analytical solution to Knudsen layers. Based on the hyperbolic regularized moment system for the Boltzmann equation with the Sha…
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…
Stationary Wigner Equation with Inflow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution?
Ruo Li, Tiao Lu, Zhangpeng Sun
Based on the well-posedness of the stationary Wigner equation with inflow boundary conditions given in (A. Arnold, H et al. J. Math. Phys., 41, 2000), we prove without any addition…
Solving Vlasov Equations Using NRxx Method
Zhenning Cai, Ruo Li, Yanli Wang
In this paper, we propose a moment method to numerically solve the Vlasov equations using the framework of the NRxx method developed in [6, 8, 7] for the Boltzmann equation. Due to…