Semiclassical limit in a simplified quantum energy-transport model for semiconductors

DOI10.3934/krm.2011.4.1049zbMath1246.35025OpenAlexW2335760238MaRDI QIDQ429038

Ansgar Jüngel, Xiu-Qing Chen, Li Chen

Publication date: 25 June 2012

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2011.4.1049

zbMATH Keywords

periodic boundary conditionPoisson equationsemiclassical limitsemiconductorsdegenerate elliptic equationelliptic-parabolic systemGagliardo-Nirenberg inequalitiesfourth-order equationdegenerate elliptic heat equationnonlinear parabolic fourth-order equationquantum energy transport

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Degenerate elliptic equations (35J70) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) PDEs with randomness, stochastic partial differential equations (35R60)

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