BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Critical free surface flow over topography - Mark Blyth (Universit
 y of East Anglia)
DTSTART:20191111T160000Z
DTEND:20191111T170000Z
UID:TALK133348@talks.cam.ac.uk
CONTACT:Matthew Priddin
DESCRIPTION:Two-dimensional free-surface flow over a localised bottom topo
 graphy is examined with an emphasis on calculating steady\, forced solitar
 y-wave solutions. In particular we focus on the case of a Gaussian dip top
 ography. Most of the focus is on the weakly-nonlinear limit where a forced
  KdV equation is applicable\, and the problem essentially boils down to so
 lving a forced nonlinear ODE with a single parameter that quantifies the a
 mplitude of the topography. This equation has a rich solution space with a
  large (probably infinite) number of solution branches. Asymptotic analysi
 s for small topography amplitude reveal some interesting features\, for ex
 ample an internal boundary layer which mediates a change from exponential 
 to algebraic decay of the free-surface in the far-field. Traditional bound
 ary-layer theory fails beyond the first two solution branches\, where the 
 surface profiles feature multiple waves trapped over the topography. The s
 tability of the steady solutions will also be briefly discussed.
LOCATION:CMS\, MR15
END:VEVENT
END:VCALENDAR