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SUMMARY:Analysis and computation of Navier–Stokes equation in bounded do
 mains - Jian-Guo Liu (Duke University)
DTSTART:20091005T140000Z
DTEND:20091005T150000Z
UID:TALK20502@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:For incompressible Navier-Stokes equations in a bounded domain
 \, \nI will first present a formula for the pressure that involves the com
 mutator of the Laplacian and Leray-Helmholtz projection operators. This co
 mmutator and hence the pressure is strictly dominated by the viscous term 
 at leading order. This leads to a well-posed and computationally congenial
  unconstrained formulation for the Navier-Stokes equations. Based on this 
 pressure formulation\, we will present a new understanding and design prin
 ciple for third-order stable projection methods. Finally\, we will discuss
  the delicate inf-sup stability issue for these classes of methods. \n\nTh
 is is joint work with Bob Pego and Jie Liu.
LOCATION:MR14\, CMS
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