\(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices

DOI10.1007/s00033-015-0560-8zbMath1338.35426OpenAlexW2186534364WikidataQ59901585 ScholiaQ59901585MaRDI QIDQ903218

Annegret Glitzky, Axel Fischer, Thomas Koprucki, Matthias Liero, Reinhard Scholz

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0560-8

zbMATH Keywords

\(p\)-LaplacianSchauder's theoremself-heatingnonlinear coupled systemfinite-volume approximationArrhenius-like conductivity lawexistence and boundednessorganic light-emitting diodestationary thermistor model

Mathematics Subject Classification ID

Related Items (12)

Analysis of \(p(x)\)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices ⋮ Analysis of a drift-diffusion model for organic semiconductor devices ⋮ Existence of weak solutions of an unsteady thermistor system with \(p\)-Laplacian type equation ⋮ Generalized Scharfetter-Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient ⋮ Analysis of a bulk-surface thermistor model for large-area organic LEDs ⋮ Thermistor systems of \(p(x)\)-Laplace-type with discontinuous exponents via entropy solutions ⋮ On the existence of weak solutions of an unsteady \(p\)-Laplace thermistor system with strictly monotone electrical conductivities ⋮ Dimension reduction of thermistor models for large-area organic light-emitting diodes ⋮ Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents ⋮ An existence result for a class of electrothermal drift-diffusion models with Gauss–Fermi statistics for organic semiconductors ⋮ An Elliptic System Related to the Stationary Thermistor Problem ⋮ Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Overview of differential equations with non-standard growth
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• Global higher integrability of minimizers of variational problems with mixed boundary conditions
• Monotone operator theory for unsteady problems in variable exponent spaces
• A remark on the thermistor problem with rapidly growing conductivity
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods
• $C^\alpha (\bar \Omega )$ Solutions of a Class of Nonlinear Degenerate Elliptic Systems Arising in the Thermistor Problem
• Comments on "Exact Evaluation of the Maliuzhinets Half-Plane Function
• Analytic Inequalities
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