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Uniform asymptotics of the far fields of the surface disturbances produced by a source in a heavy infinite-depth fluid

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Abstract

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.

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Correspondence to V. V. Bulatov.

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Original Russian Text © V.V. Bulatov, Yu.V. Vladimirov, I.Yu. Vladimirov, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 5, pp. 104–111.

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Bulatov, V.V., Vladimirov, Y.V. & Vladimirov, I.Y. Uniform asymptotics of the far fields of the surface disturbances produced by a source in a heavy infinite-depth fluid. Fluid Dyn 49, 655–661 (2014). https://doi.org/10.1134/S0015462814050123

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  • DOI: https://doi.org/10.1134/S0015462814050123

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