An analysis of the Wigner-Poisson problem with inflow boundary conditions

DOI10.1016/J.NA.2004.08.022zbMath1084.81051OpenAlexW1972529119MaRDI QIDQ703411

Chiara Manzini, Luigi Barletti

Publication date: 11 January 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.022

zbMATH Keywords

nonlinear evolution equationsinflow boundary conditionsWigner-Poisson problem

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Computational methods for problems pertaining to quantum theory (81-08) Transport processes in time-dependent statistical mechanics (82C70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Initial value problems for nonlinear first-order PDEs (35F25) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Euler-Poisson-Darboux equations (35Q05)

Related Items (6)

The Wigner-Poisson-Fokker-Planck system: global-in-time solution and dispersive effects ⋮ The Wigner-Poisson-\(X_\alpha\) system in Wiener algebra ⋮ THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE ⋮ Diffusive corrections to asymptotics of a strong-field quantum transport equation ⋮ Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals ⋮ On the three-dimensional Wigner--Poisson problem with inflow boundary conditions

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