Geodesic
Waves in a fluid over an elastic bottom. The existence theorem and exact solutions
Matematičeskie zametki, Tome 54 (1993) no. 6, pp. 33-55.

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S. Yu. Dobrokhotov; O. L. Tolstova; I. Yu. Chudinovich. Waves in a fluid over an elastic bottom. The existence theorem and exact solutions. Matematičeskie zametki, Tome 54 (1993) no. 6, pp. 33-55. http://geodesic.mathdoc.fr/item/MZM_1993_54_6_a3/

[1] Dobrokhotov S. Yu., Zhevandrov P. N., “Raschet volnovykh dvizhenii v okeane nad peremennym dnom metodom Maslova”, Issledovanie tsunami, no. 1, 1986, 73–79 | MR

[2] Zhevandrov P. N., “Zadacha Koshi–Puassona dlya gravitatsionno-kapillyarnykh voln na vode peremennoi glubiny”, Zhurn. vychisl. matematiki i mat. fiziki, 27:12 (1987), 1834–1844 | MR | Zbl

[3] Sabatier P. C., “On water waves produced by ground motions”, J. Fluid Mech., 126 (1983), 27–58 | DOI | Zbl

[4] Pod'yapolskii G. S., “Vozbuzhdenie tsunami zemletryaseniem”, Metody rascheta vozniknoveniya i rasprostraneniya tsunami, Nauka, M., 1978, 30–87

[5] Zvolinskii N. V., Nikitin I. S., Sekerzh-Zenkovich S. Ya., “Generatsiya voln tsunami i voln Releya garmonicheskim tsentrom rasshireniya”, Izv. AN SSSR. Fizika zemli, 1991, no. 2, 34–44

[6] Molotkov I. A., Kraukliss P. V., “Smeshanye poverkhnostnye volny na granitse uprugoi sredy i zhidkosti”, Izv. AN SSSR. Fizika Zemli, 1971, no. 8

[7] Aslanyan A. G., Vasilev D. G., Lidskii V. B., “Chastota svobodnykh kolebanii tonkoi obolochki, vzaimodeistvuyuschei s zhidkostyu”, Funktsion. analiz, 15:3 (1981), 1–9 | MR | Zbl

[8] Garipov R. M., “On the theory of gravity waves: the theorem of existence and uniqueness”, Arch. Rat. Mech. Anal., 24:5 (1967), 352–362 | DOI | MR | Zbl

[9] Agranovich M. S., “Granichnye zadachi dlya sistem s parametrom”, Mat. sbornik, 84(126):1 (1971), 27–65 | MR | Zbl

[10] Sakamoto R., “Smeshanye zadachi dlya giperbolicheskikh uravnenii. I; II”, Matematika, 16:1 (1972), 62–100 | MR

[11] Kreiss H. O., “Initial boundary value problems for hyperbolic systems”, Comm. Pure and Appl. Math., 23 (1970), 277–298 | DOI | MR

[12] Berezanskii Yu. M., Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, Naukova dumka, Kiev, 1965

[13] Mizokhata S., Teoriya uravnenii s chastnymi proizvodnymi, Mir, M., 1977

[14] Dyuvo G., Lions Zh.-L., Neravenstvo v mekhanike i fizike, Nauka, M., 1980

[15] Lions Zh-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[16] Zhevandrov P. N., Asimptoticheskie resheniya zadach o neustanovivshikhsya volnakh na poverkhnosti zhidkosti v basseine s nerovnym dnom, Dis. ...kand. fiz.-mat. nauk, M., 1985 | Zbl

[17] Fedoryuk M. V., “Osobennosti yader integralnykh operatorov Fure i asimptotika resheniya smeshanoi zadachi”, UMN, 32:6 (1977), 67–115 | MR | Zbl

[18] Dobrokhotov S. Yu., Tolstova O. L., “O primenenii zakonov sokhraneniya v asimptoticheskikh zadachakh dlya uravnenii s operatornoznachnym simvolom”, Matematicheskie zametki, 47:5 (1990), 148–151 | MR | Zbl