Quantum hydrodynamic model by moment closure of Wigner equation

DOI10.1063/1.4748971zbMath1441.76145arXiv1205.2803OpenAlexW3104876272MaRDI QIDQ2872366

Zhenning Cai, Ruo Li, Tiao Lu, Yan Li Wang, Yu-Wei Fan

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2803

zbMATH Keywords

regularizationBoltzmann equationlocal well-posednessGrad method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Boltzmann equations (35Q20)

Related Items (11)

The Wigner function of ground state and one-dimensional numerics ⋮ A nonlinear multigrid steady-state solver for 1D microflow ⋮ Quantum hydrodynamic model of density functional theory ⋮ Parity-decomposition and moment analysis for stationary Wigner equation with inflow boundary conditions ⋮ Hyperbolic Model Reduction for Kinetic Equations ⋮ Application of Approximate Maximum-Entropy Moment Closure to the Wigner Equation ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ Simulation of an \(n^+\)-\(n\)-\(n^+\) diode by using globally-hyperbolically-closed high-order moment models ⋮ A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry ⋮ Solving Vlasov-Poisson-Fokker-Planck Equations using NRxx method ⋮ Filtered hyperbolic moment method for the Vlasov equation

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