Semiclassical limit for bipolar quantum drift-diffusion model

DOI10.1016/S0252-9602(09)60029-1zbMath1199.35155OpenAlexW2040352501MaRDI QIDQ846851

Li Chen, Qiang Chang Ju

Publication date: 12 February 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(09)60029-1

zbMATH Keywords

weak solutionsemiclassical limitquantum drift-diffusion modelbipolar

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30)

Related Items (9)

Quantum Semiconductor Models ⋮ Initial time layer problem for quantum drift-diffusion model ⋮ The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model ⋮ The semiclassical limit in the quantum drift-diffusion equations with isentropic pressure ⋮ Existence of global attractor for the one-dimensional bipolar quantum drift-diffusion model ⋮ The Dirichlet problem of the quantum drift-diffusion model ⋮ Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors ⋮ The semiclassical limit in the quantum drift-diffusion model ⋮ The bipolar quantum drift-diffusion model

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