Uniform asymptotics of the far fields of the surface disturbances produced by a source in a heavy infinite-depth fluid. (English. Russian original) Zbl 1302.76029
Fluid Dyn. 49, No. 5, 655-661 (2014); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 5, 104-111 (2014).
Summary: The problem of constructing uniform asymptotics of the far fields of the surface disturbances produced by a localized source in a heavy homogeneous infinite-depth fluid is considered. The solutions obtained govern the wave disturbances both inside and outside the Kelvin wave wedge and are expressed in terms of the Airy function and its derivatives. The results of the numerical calculations of the wave patterns are presented.
MSC:
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 76M45 | Asymptotic methods, singular perturbations applied to problems in fluid mechanics |
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