Geodesic
Influence of the position of the opening and its shape on the properties of a Helmholtz resonator
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 107-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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The method of matched asymptotic expansions is used to influence the choice of the position of the opening and its shape on the properties of a Helmholtz acoustic resonator. It is shown that these parameters influence the imaginary part of the pole of the analytic continuation of the Green's function of the Helmholtz resonator, which, in its turn, has a strong influence on the behavior of the solutions of the corresponding scattering and radiation problems. 
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R. R. Gadyl'shin. Influence of the position of the opening and its shape on the properties of a Helmholtz resonator. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 107-118. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a8/

[1] Rayleigh O. M., Proc. Roy. Soc. London A, 92:638 (1916), 265–275 | DOI | Zbl

[2] Miles J. W., J. Acoust. Soc. of Amer., 50:3 (1971), 892–903 | DOI | MR

[3] Arsenev A. A., ZhVM i MF, 12:1 (1972), 112–138 | MR

[4] Beale J. T., Commun. Pure and Appl. Math., 26:4 (1973), 549–564 | DOI | MR

[5] Petras S. V., Funkts. analiz i ego prilozh., 9:2 (1975), 89–90 | MR | Zbl

[6] Gadylshin R. R., DAN SSSR, 310:5 (1990), 1094–1097 | MR

[7] Gadylshin R. R., Algebra i analiz, 4:2 (1992), 88–115 | MR

[8] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987 | MR

[9] Polia G., Sege G., Izoperimetricheskie neravenstva v matematicheskoi fizike, Fizmatgiz, M., 1962 | MR

[10] Landkof N. S., Osnovy sovremennoi teorii potentsiala, Nauka, M., 1966 | MR | Zbl

[11] Van Daik M., Metody vozmuschenii v mekhanike zhidkosti, Mir, M., 1967 | Zbl

[12] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR

[13] Mazya V. G., Nazarov S. A., Plamenevskii B. A., Izv. AN SSSR. Ser. matem., 48:2 (1984), 347–371 | MR

[14] Gadylshin R. R., Dif. uravneniya, 22:4 (1986), 640–652 | MR | Zbl

[15] Pavlov B. S., Faddeev M. D., Zap. nauchn. sem. LOMI, 126, 1983, 159–169 | MR | Zbl

[16] Popov I. Yu., Matem. sb., 181:10 (1990), 1366–1390 | MR