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DTSTAMP:20111025T235512Z
DTSTART;TZID=America/Los_Angeles:20111101T153000
DTEND;TZID=America/Los_Angeles:20111101T173000
TRANSP:OPAQUE
SUMMARY:Nonlinear Instability In a Semiclassical Problem
UID:48764-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:740 Evans Hall
DESCRIPTION:Jeffrey Galkowski\, UC Berkeley\n\nWe consider a nonlinear evolution problem with an asymptotic parameter and construct examples in which the linearized operator has spectrum uniformly bounded away from Rez0 (that is\, the problem is spectrally stable)\, yet the nonlinear evolution blows up in short times for arbitrarily small initial data. We interpret the results in terms of semiclassical pseudospectrum of the linearized operator: despite having the spectrum in Rez00\, the resolvent of the linearized operator grows very quickly in parts of the region Rez0. We also illustrate the results numerically.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=48764&view=preview
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CREATED:20111025T235512Z
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