Despite the heavy deployment of effort and resources in the study of turbulent fluid flows for well over a century, fundamental questions remain stubbornly unanswered. The associated issues range so widely across the mathematical, physical and engineering sciences that no single research programme can hope to cover all aspects of the subject. This particular programme will concentrate upon the more mathematical concerns, addressing a significant range of topics including:
Recent years have witnessed many analytical and computational advances in our understanding of the structural and dynamical properties of solutions of the incompressible Navier-Stokes and Euler equations and associated models, but many mathematical issues require further investigation. And despite the pressing demand for practical answers, there is nevertheless a need for longer-term thinking about how the most recent developments in mathematical analysis can be leveraged into a wider understanding of physical processes. For example, the regularity and singularity results in the primitive equations of geophysical fluid dynamics can impact climate science models. The introduction of convex integration machinery that has been instrumental in completing the proof of the Onsager conjecture and establishing non-unique weak solutions for the Euler and the Navier-Stokes equations can bring insights into the dissipative anomaly conjecture, a.k.a. Kolmogorov's zero-th law of turbulence. Singularity results for the Euler equations and advances on the Prandtl equations and boundary layer theory relevant to wall-bounded turbulence can have significant engineering applications.
Through a range of events this programme will bring researchers from a broad range of disciplines together to consider these issues. It will provide the space for the type of collaborative interdisciplinary thinking necessary for the formulation of new ideas and research directions.
> Click here to download a shareable PDF poster detailing this programme's workshop titles and their dates.
4 January 2022 to 7 January 2022
14 February 2022 to 18 February 2022
7 March 2022 to 11 March 2022
28 March 2022 to 1 April 2022
16 May 2022 to 20 May 2022
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