Boundary layer analysis in the semiclassical limit of a quantum drift-diffusion model

DOI10.1016/J.JDE.2012.03.008zbMath1243.35058OpenAlexW2082832406MaRDI QIDQ423607

Shen Bian, Michael Dreher, Li Chen

Publication date: 4 June 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.03.008

zbMATH Keywords

variational methodsboundary layerelliptic systemquantum drift-diffusion model

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Second-order elliptic systems (35J47)

Related Items (2)

Large data solutions to the viscous quantum hydrodynamic model with barrier potential ⋮ The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

Cites Work

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• The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
• The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
• On the stationary quantum drift-diffusion model
• Asymptotic Methods for Metal Oxide Semiconductor Field Effect Transistor Modeling
• Singular Perturbations and a Free Boundary Problem in the Modeling of Field-Effect Transistors
• Convergent semidiscretization of a nonlinear fourth order parabolic system
• A variational analysis of the thermal equilibrium state of charged quantum fluids
• Nano-scale MOSFET device modelling with quantum mechanical effects
• Current-voltage characteristics from an asymptotic analysis of the MOSFET equations

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