Solutions for a hydrodynamic model of semiconductors

DOI10.1006/jmaa.1999.6653zbMath0965.76073OpenAlexW2046948502MaRDI QIDQ1972057

Sixin Qian, Dening Li

Publication date: 28 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6653

zbMATH Keywords

existenceinitial-boundary value problemsource termsEuler equationssemiconductorPoisson equationelectrical potentiallocal solutionsinsulated boundarythree-dimensional isothermal hydrodynamic model

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Discontinuous solutions for a hydrodynamic model of semiconductors ⋮ The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors ⋮ Stability of semiconductor states with insulating and contact boundary conditions

Cites Work

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• Solutions for Two-Dimensional System for Materials of Korteweg Type
• On a Local Existence Theorem for a Simplified One-Dimensional Hydrodynamic Model for Semiconductor Devices
• Solutions for a Two-Dimensional Hyperbolic-Elliptic Coupled System
• A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow

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