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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.

Prof. Dr. Barbara Wagner

Barbara.Wagner@wias-berlin.de


Projects as a project leader

  • SE4

    Mathematical modeling, analysis and novel numerical concepts for anisotropic nanostructured materials

    Prof. Dr. Christiane Kraus / Prof. Dr. Gitta Kutyniok / Prof. Dr. Barbara Wagner

    Project heads: Prof. Dr. Christiane Kraus / Prof. Dr. Gitta Kutyniok / Prof. Dr. Barbara Wagner
    Project members: Esteban Meca Álvarez / Dr. Arne Roggensack
    Duration: -
    Status: completed
    Located at: Technische Universität Berlin / Weierstraß-Institut

    Description

    The project SE4 aims to develop and study mathematical models in order to understand, functionalize and optimize modern nanostructured materials. Such materials are fundamental for the design of next generation thin-film solar cells as well as batteries for the production and storage of sustainable energy, respectively. Besides the mathematical modeling, the main goals of this research project are the analysis of the developed phase field systems and the construction of numerical algorithms that efficiently capture the material properties and, in particular, their anisotropic nature. More information...

    http://www.wias-berlin.de/people/roggensa/se4/
  • SE-AP15

    Structure Formation in Thin Liquid-Liquid Films

    Dr. Dirk Peschka / Prof. Dr. Barbara Wagner

    Project heads: Dr. Dirk Peschka / Prof. Dr. Barbara Wagner
    Project members: -
    Duration: 01.04.2011 - 30.09.2017
    Status: completed
    Located at: Weierstraß-Institut

    Description

    The main topic of this tandem proposal is the direct comparison of results from mathematical modeling, analysis and experimental investigations of rupture,dewetting dynamics and equilibrium patterns of a thin liquid-liquid system. The experimental system uses a PS (polystyrene)/ PMMA (polymethylmethacrylate) thin bilayer of a few hundred nanometer, whose liquid properties can be tuned from Newtonian to visoelastic rheological flow behavior by varying the length of the polymer chains. On these small scales, apart from capillary forces and viscous dissipation, intermolecular forces will play an important role in the dynamics and morphology of the interfaces. The mathematical analysis and numerical simulation of adequate thin film models that will be derived from the underlying fluid mechanical equations, will be used through direct comparisons with experiments. Thus, we aim at clarifying also fundamental properties, such as equilibrium contact angles, singularity formation or dewetting rates. This shall form the basis for more complex situations involving evaporation, surfactant monolayers, and slippage, to yield the understanding crucial for many important nanofluidic problems in nature and technology ranging from rupture of the human tear film to the interface dynamics of donor/acceptor polymer solutions used in organic solar cells.

    http://www.dfg-spp1506.de/project-seemann-wagner-peschka
  • SE-AP16

    Phase field modeling for multi-phase systems applied to the growth of Cu(In,Ga)Se2 thin films

    Prof. Dr. Barbara Wagner

    Project heads: Prof. Dr. Barbara Wagner
    Project members: -
    Duration: 01.04.2013 - 30.09.2018
    Status: completed
    Located at: Weierstraß-Institut

    Description

    • phase field models involving surface diffusion, temperature, and elasticity for growing poly-Si film; • mathematical modeling of the evolution of In and Ga distributions during the growth of CIGSe thin films. Numerical simulations (in cooperation with PhD-6); • advanced phase field models for grain growth in ternary (CISe and CGSe) as well as for quaternary (CIGSe) thin films

    http://www.helmholtz-berlin.de/projects/hvi/microstructure/phd-projects_en.html