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GRK 2339 IntComSin

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


Mathematical models and methods are indispensable in natural and engineering sciences. Due to the rising demands on prediction, control and optimisation, the need for well-analysed models and algorithms as well as efficient software tools increased in the recent decades. These demands come from various applications, such as biological systems, medicine, material engineering and manufacturing process design. The Applied Mathematics groups from FAU Erlangen-Nürnberg and Universität Regensburg have a strong research focus on all facets of advanced mathematical modelling to understand complex phenomena and processes that typically involve interfaces, multiple scales/fields, and small parameters (singular limits). Besides their broad expertise in analysis, numerics and scientific computing, the groups have a successful and well-documented history of collaboration to pursue a common high-ranked education and research programme for doctoral researchers within a DFG funded RTG.

The RTG IntComSin aims to provide doctoral researchers with a multifaceted education in the fields of mathematical modelling, theoretical and numerical analysis, partial differential equations, calculus of variations and scientific computing. Furthermore, it aims to strengthen the cross-field exchange for practical demands in research and development. The topics explored in the doctoral projects address:

Complex Structures
Singular limits &
Dimension reduction
Interfaces Complex Structures Singular limits & Dimension reduction
  • two-phase flows
  • transport processes at interfaces
  • fluidic and elastic effects in membranes
  • shape optimisation
  • fluid-structure interactions
  • multiple scales
  • homogenisation of porous media
  • micro-macro models for complex fluids
  • microstructures generated by non-convex variational problems
  • thin film limits
  • plates/shells and beams
  • asymptotic limits in phase field models