A note on boundary conditions for quantum hydrodynamic equations

DOI10.1016/S0893-9659(99)00060-9zbMath0952.76100MaRDI QIDQ1808465

René Pinnau

Publication date: 11 January 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorbipolar quantum hydrodynamic modelthermal equilibrium statequantum limitvanishing boundary quantum effects

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Superfluids (classical aspects) (76A25)

Related Items (10)

A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL ⋮ Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit ⋮ The stationary solution of a one-dimensional bipolar quantum hydrodynamic model ⋮ Unnamed Item ⋮ Exponential decay to a quantum hydrodynamic model for semiconductors ⋮ Unnamed Item ⋮ Numerical study of the quantum Euler-Poisson model ⋮ Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits ⋮ Convergent semidiscretization of a nonlinear fourth order parabolic system ⋮ Global solutions for the compressible quantum hydrodynamic model in a bounded domain

Cites Work

• Unnamed Item
• The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
• A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors
• Numerical approximation of the transient quantum drift diffusion model.
• The Quantum Hydrodynamic Model for Semiconductor Devices
• The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model

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