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Partie imaginaire des résonances de Rayleigh dans le cas d'une boule

Published online by Cambridge University Press:  20 November 2018

Didier Gamblin
Didier Gamblin*
Affiliation:
LAGA, Institut Galilée, Université Paris 13, 99 av. J-B Clément, 93430 Villetaneuse, France e-mail: gamblin@math.univ-paris13.fr
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Résumé

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Nous étudions les résonances de Rayleigh créées par une boule en dimension deux et trois. Nous savons qu’elles convergent exponentiellement vite vers l’axe réel. Nous calculons exactement les fonctions résonantes associées puis nous les estimons asymptotiquement en fonction de la partie réelle des résonances. L’application de la formule de Green nous donne alors le taux de décroissance exponentielle de la partie imaginaire des résonances.

Keywords

35P2574B05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 58 , Issue 2 , 01 April 2006 , pp. 312 - 343
Copyright
Copyright © Canadian Mathematical Society 2006

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