Recent Advances in Hydrodynamics (16w5102)


(Pennsylvania State University)

(University of Alberta)

(State University of New York at Binghamton)

Slim Ibrahim (University of Victoria)

(University of California, Riverside)


The Banff International Research Station will host the "Recent Advances in Hydrodynamics" workshop from June 5th to June 10th, 2016.

This workshop will address the analysis of the incompressible Navier-Stokes and Euler equations and related systems. The Navier-Stokes and Euler equations are the fundamental equations modeling the behavior of fluids. These equations play an important role in aerodynamics, geophysics, meteorology and engineering among other fields.

It will focus on two main topics: Boundary Layer Theory and Turbulence. Boundary Layer Theory was introduced by Prandtl in 1904, and it addresses how to model the flow of a viscous fluid around a solid (bluff) body. Turbulence, on the other hand, was already studied by Reynolds at the end of the 19th century. Informally, fluid flows exhibit two distinct states, one where the flow is laminar, with streamlines roughly parallel to each other, and a turbulent state, in which the flow appears irregular and random. Reynolds studied the transition of the laminar flow into a turbulent one. Prandtl carried out experiments showing that the flow in the boundary layer could be both laminar or turbulent. Despite the rich history of these topics, the mathematics remains incomplete with many challenging and important open problems. In this workshop, we will survey recent progress in the mathematics of Boundary Layer Theory and Turbulence with the goal of highlighting directions for future research.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT)..