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SUMMARY:Generalized Large Scale Semigeostrophic Equations: geometric struc
 ture and global well-posedness - Vasylkevych\, S (Jacobs University Bremen
 )
DTSTART:20131205T144500Z
DTEND:20131205T153000Z
UID:TALK49206@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Marcel Oliver (Jacobs University)\, Mahmut Calik (
 Jacobs University) \n\nWe derive and study a family of approximate Hamilto
 nian balance models (called GLSG) for rotating shallow water in the semige
 ostrophic limit with spatially varying Coriolis parameter and non-trivial 
 bottom topology. The models can be formulated in terms of an advected pote
 ntial vorticity with a nonlinear vorticity inversion relation and include 
 L_1 and LSG models proposed by R. Salmon as special cases. \n\nWe prove ex
 istence and uniqueness of global classical solutions to the GLSG equations
  for certain members of the family and study the PV invertibility as a fun
 ction of the parameters.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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