Filters

2020 - 20222

More filters

2021 - 20222
Reset filters

Settings

Publisher: Chichester, West Sussex : Wiley ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains
    (Chichester, West Sussex : Wiley, 2020) Kovtunenko, Victor A.; Reichelt, Sina; Zubkova, Anna V.
    This paper is devoted to the homogenization of a nonlinear transmission problem stated in a two-phase domain. We consider a system of linear diffusion equations defined in a periodic domain consisting of two disjoint phases that are both connected sets separated by a thin interface. Depending on the field variables, at the interface, nonlinear conditions are imposed to describe interface reactions. In the variational setting of the problem, we prove the homogenization theorem and a bidomain averaged model. The periodic unfolding technique is used to obtain the residual error estimate with a first-order corrector. © 2019 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.
  • Thumbnail Image
    Item
    A coarse‐grained electrothermal model for organic semiconductor devices
    (Chichester, West Sussex : Wiley, 2022) Glitzky, Annegret; Liero, Matthias; Nika, Grigor
    We derive a coarse-grained model for the electrothermal interaction of organic semiconductors. The model combines stationary drift-diffusion- based electrothermal models with thermistor-type models on subregions of the device and suitable transmission conditions. Moreover, we prove existence of a solution using a regularization argument and Schauder's fixed point theorem. In doing so, we extend recent work by taking into account the statistical relation given by the Gauss–Fermi integral and mobility functions depending on the temperature, charge-carrier density, and field strength, which is required for a proper description of organic devices.