January 1, 2025Акустический журнал / Acoustical Physics

Asymptotic evaluation of three-dimensional integrals with singularities in application to wave phenomena

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Asymptotic behavior reveals key contributions from singularities and stationary phase points.
Key findings include the derivation of nonzero asymptotics tied to unique singularities in integrals.
Observational analysis on the behavior of three-dimensional integrals applying topological conditions on singularities.
These results may enable deeper understanding of wave phenomena, specifically in scenarios involving complex wave interactions.

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The analysis uncovers asymptotic behavior and singularities in three-dimensional Fourier integrals, suggesting implications for Kelvin waves.

Andrey V. Shanin (2025) studied this question.

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The analysis uncovers asymptotic behavior and singularities in three-dimensional Fourier integrals, suggesting implications for Kelvin waves.