Forschungsprojekt ::

Research Training Group 2339 (RTG 2339). Interfaces, Complex Structures, and Singular Limits

Projektbeschreibung

Mathematical models and methods are indispensable in natural and engineering sciences. The research training group "IntComSin" combines the expertise at FAU Erlangen- Nürnberg and at University of Regensburg in (S)PDE-analysis, calculus of variations, homogenisation and Gamma-convergence, numerical analysis and scientific computing to set up a unique research and training center to investigate at the highest scientific level selected phenomena and processes, which are related to interfaces, multiple scales/fields, and dimension reduced models arising as singular limits. This way, the research training group responds to the still growing demand for refined mathematical models, their thorough analysis and efficient numerical implementation, their predictive power and potential of optimisation which arises in various fields of natural sciences, medicine, and engineering (biology, cardiology and oncology, materials sciences, manufacturing technology). Questions under consideration are currently of major interest both from a mathematical point of view and from an application perspective and are related to the guiding topics of the RTG: Interfaces, Complex Structures, and Singular Limits.