Main results for the 3D incompressible Euler and Navier-Stokes equations
Prof. John Gibbon, Department of Mathematics, Imperial College, London, UK
| Speaker |
Prof. John Gibbon, Department of Mathematics, Imperial College, London, UK
|
|---|---|
| When |
Jan 20, 2016
from 04:00 PM to 05:00 PM |
| Where | LH006 |
| Add event to calendar |
vCal
iCal
|
Abstract: In this lecture I shall attempt to prove some results for the 3D incompressible Euler and Navier-Stokes equations on the blackboard. In the first part I shall make a formal sketch-proof of the Beale-Kato-Majda theorem for the 3D Euler equations. Then I shall formally derive some results for the 3D Navier-Stokes equations, for example the boundedness of a hierarchy of time averaged quantities first derived by Foias, Guillope and Temam (1981) and also some other bounded averages. I shall also point try to out where our lack of knowledge lies to achieve full regularity.