American Institute of Mathematics, San Jose, California
Mimi Dai, Adam Larios, Alexis F Vasseur, and Kazuo Yamazaki
This workshop, sponsored by AIM and the NSF, is devoted to the phenomena of criticality and stochasticity which co-occur in many interesting nonlinear partial differential equations (PDEs). It is designed to help strengthen and expand the deep connections between these phenomena by gathering researchers with different backgrounds in these areas, encouraging discussions of recent developments as well as open problems, and fostering collaborations during and after the workshop. In particular, the workshop will focus on a certain PDEs for which these phenomena play a major role; namely, the 3D Euler and Navier-Stokes (NS) equations of incompressible fluids, the 2D surface quasi-geostrophic (SQG) equation of geophysical flows, and the 3D Hall-magnetohydrodynamic (Hall-MHD) system.
New ideas and methods for these exciting developments will be exchanged, discussed, and analyzed during this workshop. In particular, lectures and discussions will include discourse on current open problems with the aim of making real progress. It is hoped that the combined effort of the workshop participants will generate new strategies and innovative ideas that will lead to the resolution of many outstanding open problems on the quasilinear fluid systems.
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.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than December 10, 2020. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
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