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SUMMARY:Huy Nguyen (Brown University)
DTSTART:20200702T150000Z
DTEND:20200702T155000Z
DTSTAMP:20260423T052502Z
UID:IMS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/36/">Pro
 of of modulational instability of Stokes waves in deep water</a>\nby Huy N
 guyen (Brown University) as part of PDE seminar via Zoom\n\n\nAbstract\nIt
  is proven that small-amplitude steady periodic water waves with infinite 
 depth are unstable with respect to long-wave perturbations. This modulatio
 nal instability was first observed more than half a century ago by Benjami
 n and Feir.\n\nIt has never been proven rigorously except in the case of f
 inite depth. We provide a completely different and self-contained approach
  to prove the spectral modulational instability for water waves in both th
 e finite and infinite depth cases. Our linearization retains the physical 
 variables and is compatible  with energy estimates for the nonlinear probl
 em.\n\n\nThis is joint work with Walter Strauss (Brown University).\n
LOCATION:https://researchseminars.org/talk/IMS/36/
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