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SUMMARY:David M. Ambrose (Drexel University)
DTSTART:20210408T130000Z
DTEND:20210408T135000Z
DTSTAMP:20260423T035636Z
UID:IMS/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/78/">Glo
 bal existence results for the 2D Kuramoto-Sivashinsky equation</a>\nby Dav
 id M. Ambrose (Drexel University) as part of PDE seminar via Zoom\n\n\nAbs
 tract\nThe Kuramoto-Sivashinsky equation is a model for the motion of flam
 e fronts.  In one spatial dimension much is understood\, including that so
 lutions exist for all time.  Analagous results in two dimensions are much 
 more limited\; most results in 2D assume that the domain is "thin\," or ap
 proximately one-dimensional.  We will give an overview of the results in o
 ne dimension and of anisotropic results in two dimensions.  We will then s
 how some global existence theorems for small data in two dimensions withou
 t making use of any anisotropy.  This includes joint work with Anna Mazzuc
 ato.\n
LOCATION:https://researchseminars.org/talk/IMS/78/
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