for this workshop
Small scale dynamics in incompressible fluid flows
American Institute of Mathematics, Pasadena, California
Tarek Elgindi, Aseel Farhat, Anna Mazzucato, and Wojciech Ozanski
This workshop, sponsored by AIM and the NSF, will be devoted to the study of hydrodynamics, which leads to a variety of challenging mathematical issues touching on different areas of mathematics, such as partial differential equations, harmonic analysis, and dynamical systems. Recent developments have shed light on the chaotic behavior observed in turbulent flows, the role of criticality in ill-posedness results, singularity formation in finite time of classical solutions, and the relation between irregularity, instability, and non-uniqueness of solutions.
The primary aim of the workshop is to bring together leading experts in the mathematical theory of hydrodynamics models, and to stimulate extensive discussions of recent developments and possible future research directions. The major focus of the workshop will be on the mathematical investigation of small-scale dynamics in fluid flows, and their role in emerging singularities and turbulent flows, with the objective of developing a rigorous theory consistent with the computational simulations and the observed phenomenology of turbulence.
- Ill-posedness and singularity formation in fluids
- Hydrodynamical instabilities and turbulent mixing
- Mathematical analysis of fluid boundary layers
- Inviscid limits and anomalous dissipation in fluids
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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