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SUMMARY:Modulational stability of periodic waves
DTSTART:20260327T141500
DTEND:20260327T153000
DTSTAMP:20261003T015126Z
UID:06ac112f807169cb38b167a3054cfaf31e90ea616b3cfbe5f91e550d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Mariana Haragus\, FEMTO-ST Institute\, Besançon\, Fran
 ce\nWe discuss the stability of one-dimensional stationary periodic soluti
 ons of partial differential equations. A particularity of this problem is 
 that stability results strongly depend upon the class of allowed perturbat
 ions. These perturbations may be periodic\, with period which is either th
 e same or an integer multiple of the period of the stationary solution\, o
 r they may be localized. While we briefly outline the differences and tech
 niques for spectral and linear stability\, we focus on the nonlinear stabi
 lity of these periodic solutions. As an example\, we analyze the stability
  of periodic solutions of the Lugiato-Lefever equation\, a damped nonlinea
 r Schrödinger equation with forcing that arises in nonlinear optics.\n\n
  
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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