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SUMMARY:Singularity formation and bubbling in nonlinear diffusions - Manue
 l del Pino\, University of Bath
DTSTART:20181008T140000Z
DTEND:20181008T150000Z
UID:TALK109624@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:A fundamental question in nonlinear evolution equations is the
  analysis of solutions which develop singularities (blow-up) in finite tim
 e or as time goes to infinity. We review recent results on the constructio
 n of solutions to certain notable nonlinear parabolic PDE which exhibit th
 is kind of behavior in the form of "bubbling". This means solutions that a
 t main order look like asymptotically singular time-dependent scalings of 
 a fixed finite energy entire steady state. We carry out this analysis for 
 the classical two-dimensional harmonic map flow into the sphere and the en
 ergy-critical semilinear heat equation.  \n\n
LOCATION:CMS\, MR13
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