TY - GEN A1 - Liero, Matthias A1 - Koprucki, Thomas A1 - Fischer, Axel A1 - Scholz, Reinhard A1 - Glitzky, Annegret T1 - p-Laplace thermistor modeling of electrothermal feedback in organic semiconductors N2 - In large-area Organic Light-Emitting Diodes (OLEDs) spatially inhomogeneous luminance at high power due to inhomogeneous current flow and electrothermal feedback can be observed. To describe these self-heating effects in organic semiconductors we present a stationary thermistor model based on the heat equation for the temperature coupled to a p-Laplace-type equation for the electrostatic potential with mixed boundary conditions. The p-Laplacian describes the non-Ohmic electrical behavior of the organic material. Moreover, an Arrhenius-like temperature dependency of the electrical conductivity is considered. We introduce a finite-volume scheme for the system and discuss its relation to recent network models for OLEDs. In two spatial dimensions we derive a priori estimates for the temperature and the electrostatic potential and prove the existence of a weak solution by Schauder's fixed point theorem. KW - p-Laplace KW - stationary thermistor model KW - nonlinear coupled system KW - finite-volume approximation KW - existence and boundedness KW - self-heating KW - Arrhenius-like conductivity law KW - organic light-emitting diode Y1 - 2015 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1337 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13376 ER -