Quantum Semiconductor Models

DOI10.1007/978-3-0348-0024-2_1zbMath1273.35003OpenAlexW1556180651MaRDI QIDQ2904898

Li Chen, Michael Dreher

Publication date: 24 August 2012

Published in: Partial Differential Equations and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0024-2_1

zbMATH Keywords

decay ratesexponential stabilitystationary statesanalytic semigroupsquantum hydrodynamic modelDouglis-Nirenberg systemsentropy based methodsparameter-elliptic systemsquantum drift diffusion model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

A multidimensional nonlinear sixth-order quantum diffusion equation, Remarks on classical solutions to steady quantum Navier-Stokes equations, Large data solutions to the viscous quantum hydrodynamic model with barrier potential, The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

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