Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors

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Original languageEnglish
Pages (from-to)427-493
Journal / PublicationJournal of Differential Equations
Volume170
Issue number2
Publication statusPublished - 1 Mar 2001

Abstract

In this paper, we study the asymptotic behavior of the solutions to the boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Under the insulating boundary condition and equal mass condition on electron and doping profile, we prove that the solutions to these two systems converge to the unique stationary solution time asymptotically. © 2001 Academic Press.