Transport metrics for analysis and optimization of network problems (C06)

• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

The goal of this project is to continue the structured analysis of transport on gas networks, with a possible extension to hydrogen cases. We will study the extension from gradient flow structures to perturbed versions, including non-conservative forces, as well as the extension from 2-Wasserstein metrics to more general exponents relevant in practice. Moreover, we aim at the development of structure-preserving variational time discretization of equations on networks. Another key question we want to tackle is the convergence of structures beyond scales, in particular we want to understand the convergence of 3D models to reduced 1D equations on networks with variational arguments.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks
• Applicant Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
• Project Head: Professor Dr. Martin Burger