15.07.2025

DFG: Priority Programme “Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness (CoScaRa)” (SPP 2410)

Deadline: 30.01.2026

In March 2022, the Senate of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) established the Priority Programme “Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness (CoScaRa)” (SPP 2410). The programme is designed to run for six years. The present call invites proposals for the second three-year funding period.

Nonlinear hyperbolic balance laws are ubiquitous in the modelling of fluid mechanical processes. They enable the development of powerful numerical simulation methods that support decision-making for critical applications such as in-silico aircraft design or climate change research. However, fundamental questions about distinctive hyperbolic features remain open for compressible flow regimes including the multiscale interference of shock and shear waves or the interplay of hyperbolic transport and random environments. The largely unsolved well-posedness problem for multidimensional inviscid flow equations is deeply connected to the laws of turbulent fluid motion in the high Reynolds number limit. Further progress requires a concerted effort of both fluid mechanics and the mathematical fields of analysis, numerics and stochastics.

The Priority Programme is devoted to the development of new mathematical models and methods to understand the dynamic creation of small scales and mechanisms which are either enhanced or depleted by the hyperbolic nonlinearity. It aims at a novel numerical paradigm for hyperbolic transport that can provide firm grounds for the upcoming theory of small-scale turbulence in the large Reynolds number limit.

Tandem projects that typically combine two groups from different research areas are encouraged. These projects can either provide a bridge between different mathematical research directions or connect a group from mathematics to one from engineering sciences or physics.

Deadline: 30.01.2026

For more information, please visit: https://www.dfg.de/de/aktuelles/neuigkeiten-themen/info-wissenschaft/2025/ifw-25-56