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SUMMARY:Helge Holden (Norwegian University of Science and Technology\, Nor
 way)
DTSTART:20201020T093000Z
DTEND:20201020T103000Z
DTSTAMP:20260423T024513Z
UID:WOPARA/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOPARA/9/">A
  Lipschitz metric for the Camassa–Holm equation</a>\nby Helge Holden (No
 rwegian University of Science and Technology\, Norway) as part of Webinar 
 on PDE and related areas\n\n\nAbstract\nThe Camassa—Holm equation u_t+uu
 _x+p_x= 0\,   p−p_{xx}=u^2+1/2u_x^2 has received considerable attention 
 since it was first studied by Camassa andHolm in 1993.  Part of the intere
 st stems from the fact that the solution developssingularities in finite t
 ime while keeping theH1norm finite.  At wave breakinguniqueness is lost as
  the there are infinitely many ways to extend the solutionbeyond wave brea
 king.  We study the so-called conservative solutions and showhow to constr
 uct a Lipschitz metric comparing two conservative solutions.This is joint 
 work with J. A. Carrillo (Imperial) and K. Grunert (NTNU).\n
LOCATION:https://researchseminars.org/talk/WOPARA/9/
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