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SUMMARY:Are (breaking) water waves really irrotational? (Spoiler: if only!
 ) - Alan Riquier (École normale supérieure)
DTSTART:20251126T130000Z
DTEND:20251126T140000Z
UID:TALK237325@talks.cam.ac.uk
CONTACT:Emma
DESCRIPTION:Theoretical results regarding surface waves in the ocean are m
 ost often obtained assuming that the flow is irrotational in order to grea
 tly simplify the problem's formulation. This is also a key hypothesis when
  deriving reduced models like the (non-linear) Shallow Water\, the Green-N
 aghdi or the KdV equations. In the first part of this talk\, we shall prop
 ose a reformulation of Euler's free-surface system describing breaking wav
 es\, assuming that the vorticity vanishes identically in order to reduce t
 he problem's intrinsic dimension. Secondly\, we will discuss the validity 
 of this important hypothesis investigating the stability of boundary layer
 s in near-shore oceanic flows using DNS of the full Navier-Stokes system.
LOCATION:MR12
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