Existence of weak solutions to a degenerate time-dependent semiconductor equations with temperature effect

DOI10.1016/j.jmaa.2006.10.017zbMath1114.35108OpenAlexW1984472539MaRDI QIDQ882018

Ping Guan, Bin Wu

Publication date: 23 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.017

zbMATH Keywords

drift-diffusion modelDirichlet-Neumann mixed boundary value problemnonlinear diffusivities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Degenerate parabolic equations (35K65) Statistical mechanics of semiconductors (82D37)

Related Items (7)

Energy transport in semiconductor devices ⋮ A simplified quantum energy-transport model for semiconductors ⋮ Diffusive semiconductor moment equations using Fermi-Dirac statistics ⋮ Lyapunov functionals, weak sequential stability, and uniqueness analysis for energy-transport systems ⋮ Global existence and extinction of weak solutions to a class of semiconductor equations with fast diffusion terms ⋮ Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation ⋮ Existence analysis for a simplified transient energy-transport model for semiconductors

Cites Work

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• ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
• QUALITATIVE BEHAVIOR OF SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
• On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions

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