Project Details
Projekt
Variational structures for evolution equations, optimal transport, and synthetic curvature (A08)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226
One major focus of this project are gradient flows and other variational structures for evolutions in spaces of probability measures. We aim to identify such structures based on tailored geometries for large classes of PDEs and to exploit them in the analysis of singular limits and long-term behavior. Special emphasis will be put on optimal transport and evolutionary PDEs on networks. A second major focus is to push forward the analysis and geometry on singular spaces with synthetic bounds on the curvature.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1283:
Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
Applicant Institution
Universität Bielefeld
Project Head
Professor Dr. Matthias Erbar
