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UID:5191@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240625T110000
DTEND;TZID=Europe/Paris:20240625T120000
DTSTAMP:20240617T130007Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-118/
SUMMARY:Michele Zaccaron (Institut Fresnel (Marseille)): Shape sensitivity 
 of time-harmonic Maxwell’s equations in bounded domains
DESCRIPTION:Michele Zaccaron: In this talk we consider the following eigenv
 alue problem\, arising from time-harmonic\nMaxwell’s equations in the co
 ntext of perfectly conducting cavities:\n\nε^{-1} curl μ^{-1} curl E = 
 λE\, in Ω\,\n\ndiv εE = 0\, in Ω\,\n\nν × E = 0\, on ∂Ω.\nHere th
 e cavity is represented by a bounded domain Ω of R3\, with ν being its o
 uter\nunit normal. The matrix-valued functions ε and μ represent the ele
 ctric permittivity\nand the magnetic permeability of the medium filling Ω
 \, respectively. This problem\nadmits a discrete spectrum composed of isol
 ated eigenvalues of finite multiplicity.\nThe study of electromagnetic cav
 ities is quite important in applications\, for\nexample in designing cavit
 y resonators or shielding structures for electronic circuits.\nWe analyze 
 the dependence of the eigenvalues λ with respect to the variation of\nthe
  geometry of Ω\, and we discuss possible applications towards shape optim
 ization\nchallenges.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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