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SUMMARY:Towards well-posedness of the L^2-metric on the space of curves
DTSTART:20141029T163000
DTEND:20141029T173000
DTSTAMP:20260916T044015Z
UID:2ed218ca32f98af2e9c7a69928d12cf21dd5b41f6bf79632d3786c29
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martins Bruveris (Brunel)\nGeometry and Dynamics Seminar\nAbst
 ract: I will discuss the technique employed in [1]\, where Euler's equatio
 n was approximated by relaxing the incompressibility constraint and consid
 ering geodesic equations of higher order Sobolev metrics on the group of a
 ll (compressible) diffeomorphisms. Euler's equations were recovered as the
  limiting case of this family of equations and it was shown that solutions
  of this family converge to solutions to Euler's equation.In the second pa
 rt of the talk I will discuss using the technique to view the L^2-metric o
 n the space of curves as the limiting case of higher order Sobolev metrics
  and thus hopefully establishing the well-posedness of the geodesic equati
 on for the L^2-metric. [1] Mumford & Michor: On Euler's equation and 'EPDi
 ff'. J. Geom. Mech. 5(3)\, 319-344\, 2013. 
LOCATION:GR A3 30
STATUS:CONFIRMED
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