22 citations · 23 across the 6 of their papers we have counts for
6 papers
Well-posedness of a non-local abstract Cauchy problem with a singular integral
H. Jiang, T. Lu, X. Zhu
A non-local abstract Cauchy problem with a singular integral is studied, which is a closed system of two evolution equations for a real-valued function and a function-valued functi…
Singularity-free Numerical Scheme for the Stationary Wigner Equation
Tiao Lu, Zhangpeng Sun
For the stationary Wigner equation with inflow boundary conditions, its numerical convergence with respect to the velocity mesh size are deteriorated due to the singularity at velo…
Parity-decomposition and Moment Analysis for Stationary Wigner Equation with Inflow Boundary Conditions
Ruo Li, Tiao Lu, Zhangpeng Sun
We study the stationary Wigner equation on a bounded, one-dimensional spatial domain with inflow boundary conditions by using the parity decomposition in (Barletti and weifel, Tran…
Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Ruo Li, Tiao Lu, Zhangpeng Sun
Making use of the Whittaker-Shannon interpolation formula with shifted sampling points, we propose in this paper a well-posed semi-discretization of the stationary Wigner equation…
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…
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 \…