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SUMMARY:Sergei Chernyshenko (Imperial College London\, UK)
DTSTART:20210304T163000Z
DTEND:20210304T173000Z
DTSTAMP:20260423T040041Z
UID:SIAM-PDE/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIAM-PDE/8/"
 >Auxiliary functionals: a path to solving the problem of turbulence</a>\nb
 y Sergei Chernyshenko (Imperial College London\, UK) as part of Seminar In
  the Analysis and Methods of PDE (SIAM PDE)\n\n\nAbstract\nThe problem of 
 turbulence is the greatest unsolved problem of classical fluid dynamics.  
 It is quite old. Similarly\, the problem of optimizing over the cone of no
 nnegative polynomials was long believed to be too hard\,\nuntil at the sta
 rt of the millennium a breakthrough paved a way by linking it\, through su
 m-of-squares polynomial optimisation\, to semidefinite programming. And on
 ly a few years ago\, auxiliary functionals were proposed with an \nultimat
 e goal of applying the fruits of this breakthrough to solving the problem 
 of turbulence. The essence of these ideas is remarkably simple. The talk w
 ill cover the basics\, and then a few questions will be reviewed deeper\, 
 including applications to systems of equations with energy-conserving quad
 ratic nonlinearities\, such as the Kuramoto–Sivashinsky and the Navier-S
 tokes equations.\n
LOCATION:https://researchseminars.org/talk/SIAM-PDE/8/
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