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SUMMARY:Helge Holden (Norwegian University of Science and Technology)
DTSTART:20200924T130000Z
DTEND:20200924T135000Z
DTSTAMP:20260423T035606Z
UID:IMS/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/59/">A L
 ipschitz metric for the Camassa-Holm equation</a>\nby Helge Holden (Norweg
 ian University of Science and Technology) as part of PDE seminar via Zoom\
 n\n\nAbstract\nThe Camassa—Holm equation\n\n$$\n\nu_t+uu_x+p_x=0\, \\qua
 d p-p_{xx}= u^2+1/2  u_x^2\n\n$$\n\nhas received considerable attention si
 nce it was first studied by Camassa and Holm in 1993. Part of the interest
  stems from the fact that the solution develops singularities in finite ti
 me while keeping the $H^1$ norm finite.  At wave breaking uniqueness is lo
 st as the there are infinitely many ways to extend the solution beyond wav
 e breaking. We study the so-called conservative solutions and show how to 
 construct a Lipschitz metric comparing two conservative solutions.\n\n\nTh
 is is joint work with J. A. Carrillo (Imperial) and K. Grunert (NTNU).\n\n
 https://nguyenquochung1241.wixsite.com/qhung/post/pde-seminar-via-zoom\n
LOCATION:https://researchseminars.org/talk/IMS/59/
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