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SUMMARY:Michele Coti Zelati (Imperial College London)
DTSTART:20200604T130000Z
DTEND:20200604T135000Z
DTSTAMP:20260423T035721Z
UID:IMS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/22/">Inv
 iscid damping and enhanced dissipation in 2d fluids</a>\nby Michele Coti Z
 elati (Imperial College London) as part of PDE seminar via Zoom\n\n\nAbstr
 act\nWe review some recent results on the asymptotic stability of stationa
 ry solutions to the two-dimensional Euler and Navier-Stokes equations of i
 ncompressible flows. In many cases\, sharp decay rates for the linearized 
 problem imply some sort of nonlinear asymptotic stability\, both in the Eu
 ler equations (through the so-called inviscid damping)  and the Navier-Sto
 kes equations (undergoing enhanced dissipation). However\, we will see tha
 t in the case of the 2D square periodic domain\, the so-called Kolmogorov 
 flow exhibits much more complex behavior: in particular\, linear asymptoti
 c stability holds\, while nonlinear asymptotic stability is not true even 
 for analytic perturbations.\n\nHere is the poster of this talk: \nhttps://
 www.dropbox.com/s/3ixoc26oxs2tblj/9th%20PDE%20Seminar.pdf?dl=0\n\nPlease v
 isit our website to get more information: \n\nhttps://nguyenquochung1241.w
 ixsite.com/qhung/post/pde-seminar-via-zoom\n
LOCATION:https://researchseminars.org/talk/IMS/22/
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