Geodesic
The one-dimensional inverse problem of finding a~tsunami source
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 87-99.

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We consider in the one-dimensional version a model inverse problem of finding the initial state of the ocean surface. We prove that the initial state is uniquely determined by the oscillation regime of a sole point on the ocean surface. We give algorithms for solving the direct and inverse problems and include the results of test simulations.
Mots-clés : tsunami wave propagation
Keywords: Cauchy problem, inverse problem, simulation algorithms. 
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V. G. Romanov; P. S. Moshkalev. The one-dimensional inverse problem of finding a~tsunami source. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 87-99. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a9/

[1] Pelinovskii E. N., Gidrodinamika voln tsunami, izd. In-ta prikladnoi fiziki RAN, Nizhnii Novgorod, 1996

[2] Le Blon P., Maisek L., Volny v okeane, Mir, M., 1981

[3] Avdeev A. V., Goryunov E. V., Lavrentev M. M. (ml.), “Obratnaya zadacha tsunami: opredelenie parametrov istochnika”, Prirodno-tekhnogennaya bezopasnost Sibiri, Tr. nauch. meropriyatii, v. 1, izd. IPTs KGTU, Krasnoyarsk, 2001, 131–138

[4] Voronina T. A., “Reconstruction of the initial tsunami waveform by the coastal observations inversion”, Bull. Novosibirsk Computer Center. Ser. Math. Methods in Geophysics, 7 (2002), 89–100 | Zbl

[5] Voronina T. A., Tcheverda V. A., “Reconstruction of tsunami initial form via level oscillation”, Bull. Novosibirsk Comput. Center. Ser. Math. Methods in Geophysics, 4 (1998), 127–135 | Zbl