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1
BIRS Workshop — Fluid Equations, A Paradigm for Complexity: Regularity vs Blow-up, Deterministic vs Stochastic
01 Oct 2023 - 06 Oct 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
Fluids are ubiquitous in the nature, but equations of fluid mechanics are among the most difficult PDEs to analyze. The question of global regularity v.s. finite time blow-up remains open for many fundamental fluid equations, and there are also many other interesting open questions on other aspects of properties. Recently, the study of fluid equations has witnessed multiple breakthrough results, such as non-existence of type-one singularity, rigorous proofs for small scale formation and finite-time blow-up for various equations, non-uniqueness of weak solutions to the Euler and Navier-Stokes equation via convex integration, as well as the non-uniqueness of the law of the 3D stochastic Navier-Stokes equations. With these exciting developments in the last decade, this workshop is a timely event to capitalize on this momentum. In this workshop, we aim to bring together leading experts and junior researchers covering complementary areas in fluid equations to share new ideas, discuss emerging problems, and identify promising research directions for the future. When inviting participants to the workshop, preferences will be given to junior researchers and researchers from underrepresented groups.
Event listing ID:
1499277
2
BIRS Workshop — Infinite Dimensional Geometry and Fluids
05 Nov 2023 - 10 Nov 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
The Banff International Research Station will host a diverse, international group of mathematicians in 2023 to study geometric approaches to fluids and optimal transport. The ideas of geodesic settings for fluids have been circulating since the late 1960s, but received a strong surge lately, in the last 5-10 years, with the development of new techniques in infinite-dimensional geometry and group theory. The original idea is that the particles in an ideal liquid or gas move in a curved infinite-dimensional space, in the same way as an airplane flying around the earth: along the shortest path. Properties of the fluid, such as how well it can be predicted in the future, how well it mixes together, and how extreme the speed can be, can all be related to how curved this infinite-dimensional space is, which helps us understand features of the weather and climate geometrically. More recently similar ideas have been used to understand solids as well, for example when a pile of rocks are transported from one place to another at the optimal cost.
Event listing ID:
1499338
3
BIRS Workshop — Bootstrap Percolation and its Applications
14 Apr 2024 - 19 Apr 2024 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Event listing ID:
1559392
4
BIRS Workshop — Non-Newtonian Flows in Porous Media
14 Jul 2024 - 19 Jul 2024 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Event listing ID:
1559565
5
BIRS Workshop — Frontiers of Statistical Mechanics and Theoretical Computer Science
11 Aug 2024 - 16 Aug 2024 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Event listing ID:
1559572


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Last updated: 26 May 2023