Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size

Author:

Bendali Abderrahmane,Huard Alain,Tizaoui Abdelkader,Tordeux Sébastien,Vila Jean-Paul

Publisher

Elsevier BV

Subject

General Mathematics

Reference12 articles.

1. A note on the generalized Dumbbell problem;Anné;Proc. Amer. Math. Soc.,1995

2. Scattering frequencies of resonators;Beale;Comm. Pure Appl. Math.,1973

3. A. Bendali, A. Tizaoui, S. Tordeux, J.P. Vila, Matching of asymptotic expansions for an eigenvalue problem with two cavities linked by a narrow hole, SAM Research Report, ETH Zürich, 2009, no. 17

4. Lower bounds on the interaction between cavities connected by a thin tube;Brown;Duke Math. J.,1994

5. Surface potentials and the method of matching asymptotic expansions in the Helmholtz resonator problem;Gadyl'shin;Algebra i Analiz,1992

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