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Since 2019, Matheon's application-oriented mathematical research activities are being continued in the framework of the Cluster of Excellence MATH+
www.mathplus.de
The Matheon websites will not be updated anymore.

Laufende Projekte

Anders finanziert

  • OT-AP1

    Multi-Dimensional Modeling and Simulation of Electrically Pumped Semiconductor-Based Emitters

    PD Dr. Uwe Bandelow / Dr. Thomas Koprucki / Prof. Dr. Alexander Mielke / Prof. Dr. Frank Schmidt

    Projektleiter: PD Dr. Uwe Bandelow / Dr. Thomas Koprucki / Prof. Dr. Alexander Mielke / Prof. Dr. Frank Schmidt
    Projekt Mitglieder: -
    Laufzeit: 01.01.2008 - 31.12.2019
    Status: laufend
    Standort: Weierstraß-Institut / Konrad-Zuse-Zentrum für Informationstechnik Berlin

    Beschreibung

    The aim of this joint project of WIAS and ZIB is the comprehensive and self-consistent optoelectronic modeling and simulation of electrically pumped semiconductor-based light emitters with spatially complex 3D device structure and quantum dot active regions. The required models and methods for an accurate representation of devices, such as VCSELs and single photon emitters, featuring open cavities, strong interactions between optical fields and carriers, quantum effects, as well as heating will be developed and implemented, resulting in a set of tools, that will be provided for our partners in the CRC 787.

    http://www.zib.de/projects/multi-dimensional-modeling-and-simulation-vertical-cavity-surface-emitting-lasers-vcsels / http://wias-berlin.de/projects/sfb787-b4/
  • OT-AP10

    Analysis of discretization methods for nonlinear evolution equations

    Prof. Dr. Etienne Emmrich

    Projektleiter: Prof. Dr. Etienne Emmrich
    Projekt Mitglieder: -
    Laufzeit: 01.09.2012 - 31.12.2022
    Status: laufend
    Standort: Technische Universität Berlin

    Beschreibung

    Nonlinear evolution equations are the mathematical models for time-dependent processes in science and engineering. Relying upon the theory of monotone operators and compactness arguments, we study existence of solutions, convergence of discretization methods, and feedback control for equations of dissipative type. We focus on nonlocality in time (distributed delay, memory effects) and interpret time-delayed feedback control as a nonlocal-in-time coupling. Applications arise in soft matter and dynamics of complex fluids such as liquid crystals.

    http://www.itp.tu-berlin.de/collaborative_research_center_910/sonderforschungsbereich_910/project_groups/a_theoretical_methods/tp_a8/