AN ASYMPTOTIC MODEL FOR THE TRANSPORT OF AN ELECTRON GAS IN A SLAB

DOI10.1142/S0218202511005453zbMath1219.35200OpenAlexW2079333189MaRDI QIDQ3087879

Fanny Delebecque

Publication date: 17 August 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202511005453

zbMATH Keywords

singular perturbationasymptotic analysisslabquantum transportSchrödinger-Poisson systemnanoelectronicstime averaging

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)

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Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve

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