On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 932-947 Cet article a éte moissonné depuis la source Math-Net.Ru

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Propagation of small perturbations in a homogeneous inviscid liquid rotating with a constant angular velocity in the lower half-space is considered. The source of excitation is a plane wave traveling on the free surface of the liquid. The explicit analytical solution to the problem is constructed. Uniqueness and existence theorems are proved. The wave pattern in the liquid at large times is examined.
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L. V. Perova. On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 932-947. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a11/

[1] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[2] Gabov S. A., Novye zadachi matematicheskoi teorii voln, Nauka, M., 1998 | Zbl

[3] Perova L. V., Pletner Yu. D., Sveshnikov A. G., Korpusov M. O., “Asimptotika pri bolshikh vremenakh nachalno-kraevoi zadachi dlya dvumernogo uravneniya Soboleva”, Differents. ur-niya, 35:10 (1999), 1421–1425 | MR | Zbl

[4] Perova L. V., Pletner Yu. D., Sveshnikov A. G., “O kolebaniyakh stratifitsirovannoi i vraschayuscheisya zhidkosti, vozbuzhdaemykh ploskoi beguschei po dnu volnoi”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 136–143 | MR | Zbl

[5] Alshin A. B., Perova L. V., “O kolebaniyakh stratifitsirovannoi vraschayuscheisya zhidkosti, vozbuzhdaemykh volnoi, beguschei po naklonnomu dnu”, Zh. vychisl. matem. i matem. fiz., 40:3 (2000), 473–482 | MR

[6] Perova L. V., “O kolebaniyakh polubeskonechnoi stratifitsirovannoi zhidkosti pri vozbuzhdenii ee svobodnoi poverkhnosti dvizhuschimisya istochnikami”, Zh. vychisl. matem. i matem. fiz., 45:6 (2005), 1107–1124 | MR | Zbl

[7] Sveshnikov A. G., Tikhonov A. P., Teoriya funktsii kompleksnoi peremennoi, Nauka, M., 1991 | MR

[8] Gabov S. A., Sveshnikov A. G., Zadachi dinamiki stratifitsirovannykh zhidkostei, Nauka, M., 1986 | MR

[9] Fedoryuk M. F., Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR