Long-Time Behavior of Solutions to the Navier-Stokes Equations

Friday, April 5, 2019 - 11:00am to 12:00pm
Location: 
WXLR A104

Speaker

Don Jones
Arizona State University

Abstract

Folklore among the fluid mechanics community asserts that there is a length scale associated with a fluid in which smaller, non-transitory scales are immediately damped out by the viscosity and play no role in the dynamics of the fluid. This would imply that the asymptotic in time behavior of a fluid can be described by a finite number of parameters. Over the last few decades mathematicians have produced, starting with the Navier-Stokes Equations, some rather clever ways of corroborating this belief. The talk will be a survey of these efforts.

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