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- W2077772330 abstract "We consider a vibrating membrane occupying a domain Ω of ℝ 2 , composed of two materials, with very different densities. These materials fill two domains Ω 1 and Ω 2 of ℝ 2 , and Γ is the interface between them: Γ = ∂Ω 1 ∩ ∂Ω 2 . We look at the associated spectral problem. We prove that there are modes which concentrate in a small neighborhood of Γ, the whispering gallery modes. We address the cases where Ω 2 , the part with negligible mass, is either a bounded or unbounded domain [Formula: see text], and the case where Ω 1 is a concentrated mass: Ω 1 = εB, with ε → 0, and the density in Ω 1 very much higher than elsewhere." @default.
- W2077772330 created "2016-06-24" @default.
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- W2077772330 date "2003-01-01" @default.
- W2077772330 modified "2023-10-03" @default.
- W2077772330 title "ON THE WHISPERING GALLERY MODES ON INTERFACES OF MEMBRANES COMPOSED OF TWO MATERIALS WITH VERY DIFFERENT DENSITIES" @default.
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- W2077772330 doi "https://doi.org/10.1142/s0218202503002398" @default.
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