Hofmanova Lab

University of Bielefeld

Nordrhein-Westfalen (DEA) · Germany

ERC-funded
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Research focus

ERC Starting Grant · 2020

Mathematical analysis of fluid flows: the challenge of randomness

The main goal of the present project is to make substantial contributions to the understanding of fundamental problems in the mathematical theory of fluid flows. This theory is formulated in terms of systems of nonlinear partial differential equations (PDEs). Major attention has been paid to the iconic example, the Navier-Stokes system for incompressible fluids, and the corresponding Millennium Problem. Despite joint efforts and a substantial progress for various models in fluid dynamics, fundamental questions concerning existence and uniqueness of solutions as well as long time behavior remain unsolved. This project is based on the conviction that a probabilistic description is…

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