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CATEGORIES:Geometric Analysis &amp\; Partial Differential Equ
 ations seminar
SUMMARY:Singularity formation and bubbling in nonlinear di
 ffusions - Manuel del Pino\, University of Bath
DTSTART;TZID=Europe/London:20181008T150000
DTEND;TZID=Europe/London:20181008T160000
UID:TALK109624AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/109624
DESCRIPTION:A fundamental question in nonlinear evolution equa
 tions is the analysis of solutions which develop s
 ingularities (blow-up) in finite time or as time g
 oes to infinity. We review recent results on the c
 onstruction of solutions to certain notable nonlin
 ear parabolic PDE which exhibit this kind of behav
 ior in the form of "bubbling". This means solution
 s that at main order look like asymptotically sing
 ular time-dependent scalings of a fixed finite ene
 rgy entire steady state. We carry out this analysi
 s for the classical two-dimensional harmonic map f
 low into the sphere and the energy-critical semili
 near heat equation.  \n\n
LOCATION:CMS\, MR13
CONTACT:Ivan Moyano
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