WG Modelling and PDEs
Leitung: Prof. Dr. Michael BöhmNowadays most processes in nature and industry can only by understood and prognosticated with advanced mathematical modelling methods. To cope the complexity of models from material sciences, mathematical skills and methods are needed for an adequate formulation.
We focus on
- the mathematical modelling of physicochemical processes in various types of materials with a complex micro structure,
- on the mathematical investigation of the resulting systems of Partial Differential Equations,
- and on the derivation of averaged models by homogenization methods.
A research project concerning the theory and application of Mehr-Mechanismen-Modellen(multi mechanisms models), in co-operation amongst others with the INSA institute (Rouen) and the École des Mines (Paris)was arranged recently.
Mikro-Makro-Modellierung von Reaktions-Diffusions-Problemen(micro macro modelling of reaction diffusion problems) is the analysis of how homogenization methods and two-scale models can be used for time-dependent geometries. For instance this can be adopted to the constriction of pore systems in concrete (cf. project Moving-Boundary-Modellierung der Karbonatisierung von Beton(moving boundary modelling of the carbonation of concrete).
Topics for Bachelor-Thesis (Industrial Mathematics) Bachelor-Thesis (application/pdf 63.4 KB)
Dissertations: Dissertations (application/pdf 76.3 KB)