Lakeside Lectures

Speaker: Prof. Tai-Peng Tsai (University of British Columbia)
Title: The Navier-Stokes regularity problem
Time: 2013-11-18 (Mon.)  14:00 - 15:00
Place: Room 202, Astro-Math. Building
Abstract: Incompressible Navier-Stokes equations is the fundamental system of partial differential equations that models the motion of incompressible Newtonian fluids, e.g., water. For any smooth localized initial velocity field in R3, there is a weak solution that exists for all time and is regular for short time. However its regularity for all time is a significant open problem. This is related to the question whether the Navier-Stokes system describes turbulence. In this talk I will try to explain the difficulty of this problem and partial results so far, to a general audience including beginning graduate students who know the heat equation.
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