Thermistor systems of \(p(x)\)-Laplace-type with discontinuous exponents via entropy solutions

DOI10.3934/dcdss.2017035zbMath1378.35146OpenAlexW2607263786WikidataQ59901557 ScholiaQ59901557MaRDI QIDQ524545

Miroslav Bulíček, Annegret Glitzky, Matthias Liero

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2017035

zbMATH Keywords

heat transfer\(p(x)\)-Laplacianthermistor system

Mathematics Subject Classification ID

Related Items (9)

Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ Existence of weak solutions of an unsteady thermistor system with \(p\)-Laplacian type equation ⋮ A concave-convex problem with a variable operator ⋮ Analysis of a bulk-surface thermistor model for large-area organic LEDs ⋮ Analysis of a hybrid model for the electro-thermal behavior of semiconductor heterostructures ⋮ Dimension reduction of thermistor models for large-area organic light-emitting diodes ⋮ 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

• Analysis of \(p(x)\)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices
• Lebesgue and Sobolev spaces with variable exponents
• \(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents
• A remark on the thermistor problem with rapidly growing conductivity
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• Entropy solutions for nonlinear elliptic equations in L1
• Nonlinear partial differential equations with applications
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