Geodesic
Minnaert resonances for acoustic waves in bubbly media
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 7, pp. 1975-1998

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Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.

DOI : 10.1016/j.anihpc.2018.03.007
Classification : 35R30, 35C20
Keywords: Minnaert resonance, Bubble, Monopole approximation, Layer potentials, Acoustic waves 
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     author = {Ammari, Habib and Fitzpatrick, Brian and Gontier, David and Lee, Hyundae and Zhang, Hai},
     title = {Minnaert resonances for acoustic waves in bubbly media},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1975--1998},
     publisher = {Elsevier},
     volume = {35},
     number = {7},
     year = {2018},
     doi = {10.1016/j.anihpc.2018.03.007},
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     zbl = {1400.35230},
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Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai. Minnaert resonances for acoustic waves in bubbly media. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 7, pp. 1975-1998. doi: 10.1016/j.anihpc.2018.03.007

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