Zero Debye length asymptotic of the quantum hydrodynamic model for semiconductors
type: Item
instance of: scholarly article
title: Zero Debye length asymptotic of the quantum hydrodynamic model for semiconductors
zbMATH Open document ID: 1071.82058
author: Chi-Kun Lin
author: Hai-Liang Li
published in: Communications in Mathematical Physics
publication date: 2005-06-08T00:00:00Z
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 82D50
zbMATH DE Number: 2174478
zbMATH Keywords: Debye length
zbMATH Keywords: quantum hydrodynamic equation
zbMATH Keywords: semiconductor
zbMATH Keywords: charge transport
zbMATH Keywords: isentropic quantum fluids
MaRDI profile type: Publication
full work available at URL: s00220-005-1316-7
OpenAlex ID: W2093037244
cites work: convergence of the vlasov-poisson system to the incompressible euler equations
cites work: Remarks on the breakdown of smooth solutions for the 3-D Euler equations
cites work: Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension
cites work: A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
cites work: SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION
cites work: On the semiclassical limit of the general modified NLS equation
cites work: The Quantum Hydrodynamic Model for Semiconductor Devices
cites work: Q4339594
cites work: Closure conditions for classical and quantum moment hierarchies in the small-temperature limit
cites work: Ekman layers of rotating fluids, the case of well prepared initial data
cites work: A steady-state quantum Euler-Poisson system for potential flows
cites work: Q3437208
cites work: Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
cites work: Q4893762
cites work: An Approximate Newton Method for the Solution of the Basic Semiconductor Device Equations
cites work: FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
cites work: Fast singular limits of hyperbolic PDEs
cites work: Compact sets in the space \(L^ p(0,T;B)\)
DOI: 10.1007/S00220-005-1316-7
description: scientific article; zbMATH DE number 2174478