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SUMMARY:Global bifurcation of steady gravity water waves with constant vor
 ticity - Eugen Varvaruca (Universitatea Alexandru Ioan Cuza\; University o
 f Reading)
DTSTART:20170808T150000Z
DTEND:20170808T160000Z
UID:TALK74921@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We consider the problem&nbsp\;of two-dimensional travelling wa
 ter waves propagating under the influence of gravity in a flow of constant
  vorticity over a flat bed. By using a&nbsp\;conformal mapping from a stri
 p onto the fluid domain\,&nbsp\;the governing equations are recasted&nbsp\
 ;as a one-dimensional pseudodifferential equation that generalizes Babenko
 &#39\;s equation for irrotational waves of infinite depth. We show how an 
 application of the&nbsp\;theory of global bifurcation in the&nbsp\;real-an
 alytic setting leads&nbsp\;to&nbsp\;the existence of families of waves of 
 large amplitude that may have critical layers and/or overhanging profiles.
  This is joint work with Adrian Constantin and Walter Strauss.
LOCATION:Seminar Room 1\, Newton Institute
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