Establishment of waves generated by a pulsating source in a finite-depth fluid. (English. Russian original) Zbl 1407.76017

Fluid Dyn. 53, No. 4, 461-470 (2018); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2018, No. 4, 12-22 (2018).
Summary: A correct solution of Sretenskii’s plane problem of a source pulsating in a finite-depth fluid is derived. The solution is found using generalized functions as a limit as the time goes to infinity of a wave regime generated by a source which starts to execute pulsations in a fluid initially at rest at a certain moment of time.


76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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