From a multidimensional quantum hydrodynamic model to the classical drift-diffusion equation

DOI10.1090/S0033-569X-09-01156-7zbMath1176.35015MaRDI QIDQ3393899

Yeping Li

Publication date: 27 August 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-03/S0033-569X-09-01156-7/home.html

zbMATH Keywords

energy estimatesperiodic boundary conditionselliptic-parabolic systemrelaxation limitisentropic quantum models

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)

Related Items

Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation ⋮ Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations ⋮ Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors

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