Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space

DOI10.1007/S11401-013-0794-8zbMath1280.35155OpenAlexW1963704911MaRDI QIDQ379895

Jian-Wei Dong, Shao-Hua Cheng, You-Lin Zhang

Publication date: 11 November 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0794-8

zbMATH Keywords

existencestationary solutionsquantum energy-transport model

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Transport processes in time-dependent statistical mechanics (82C70) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Semiclassical limit in a simplified quantum energy-transport model for semiconductors
• A simplified quantum energy-transport model for semiconductors
• Classical solutions to one-dimensional stationary quantum Navier-Stokes equations
• Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization
• The Quantum Hydrodynamic Model for Semiconductor Devices

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