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SUMMARY:Blowup in the nonlinear Schrodinger equation - Jonathan Chapman (U
 niversity of Oxford)
DTSTART:20221031T100000Z
DTEND:20221031T105000Z
UID:TALK185171@talks.cam.ac.uk
DESCRIPTION:We systematically derive a normal form for the emergence of ra
 dially symmetric blowup solutions from stationary ones in the nonlinear Sc
 hrodinger equation. The derivation uses the methodology of asymptotics bey
 ond all orders\, and the resulting normal form applies when either the pow
 er law or dimension is used as the bifurcation parameter. It yields excell
 ent agreement with numerics in both leading and higher-order effects\, is 
 applicable to both infinite and finite domains\, and is valid in both crit
 ical and supercritical regimes.
LOCATION:Seminar Room 1\, Newton Institute
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