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Estimate of the applicability limits of a linear theory of internal waves

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Abstract

Using a perturbation method, the applicability limits of a linear theory of internal gravity waves are estimated. It is shown that over a wide range of wavelengths, typical of a real ocean, in studying the dynamics of internal gravity waves it is possible to use a linear approximation, which confirms the validity and adequacy of this approximation for the corresponding spatial and temporal scales of the linear model of wave dynamics.

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Original Russian Text © V.V. Bulatov, Yu.V. Vladimirov, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 5, pp. 122–128.

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Bulatov, V.V., Vladimirov, Y.V. Estimate of the applicability limits of a linear theory of internal waves. Fluid Dyn 45, 787–792 (2010). https://doi.org/10.1134/S001546281005011X

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  • DOI: https://doi.org/10.1134/S001546281005011X

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