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SUMMARY:Free boundaries in fractional filtration equations - Quirs\, F (U.
  Autnoma de Madrid)
DTSTART:20140626T150000Z
DTEND:20140626T153000Z
UID:TALK53175@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Arturo de Pablo (U. Carlos III de Madrid)\, Ana Ro
 drguez (U. Politcnica de Madrid)\, Juan Luis Vzquez (U. Autnoma de Madrid)
  \n\nIn this talk we will review some recent results on the Cauchy problem
  for the fractional filtration equation $partial_t u+(-Delta)^{ igma/2}ar
 phi(u)$\, $ igmain(0\,2)$\, where the nonlinearity $arphi$ satisfies some
  not very restrictive conditions. \n\nSolutions to these problems become i
 nstantaneously positive if the initial data are nonnegative. However\, a f
 ree boundary emerges in certain cases in which there is a distinguished va
 lue\, as in the fractional Stefan problem\, $arphi(u)=(u-1)_+$\, or in th
 e mesa limit\, $m	oinfty$\, for the fractional porous media equation\, $a
 rphi(u)=u^m$. \n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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