The combined semi-classical and relaxation limit in a quantum hydrodynamic semiconductor model

DOI10.1017/S030821050800036XzbMath1184.35023OpenAlexW2019581500MaRDI QIDQ5189769

Yeping Li

Publication date: 11 March 2010

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050800036x

zbMATH Keywords

Poisson equationperiodic initial-value problemsdispersive termisentropic Euler equationsformal derivation of the classical drift-diffusion modelMaxwell-type iteration

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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