Skip to main content
SpringerLink
Log in

Far fields of the surface disturbances produced by a pulsating source in an infinite-depth fluid

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The problem of constructing uniform asymptotics for the far fields of surface disturbances produced by a localized pulsating source in a heavy homogeneous infinite-depth fluid is considered. The wave pattern of the excited fields is the sum of waves of two types, namely, annular and wedgeshaped. The solutions obtained describe the wave disturbances far from the pulsating source both inside and outside the Kelvin wave wedges.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I.V. Lavrenov and E.G. Morozov (eds.), Surface and Internal Waves in the Arctic Seas [in Russian], Gidrometeoizdat, St. Petersburg (2002).

    Google Scholar 

  2. L.N. Sretenskii, Theory of Wave Motions in Fluids [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  3. M.J. Lighthill, Waves in Fluids, Cambridge Univ. Press, Cambridge (1978).

    MATH  Google Scholar 

  4. J. Pedlosky, Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics, Springer, Berlin & Heidelberg (2003).

    Book  Google Scholar 

  5. V.V. Bulatov and Yu.V. Vladimirov, Dynamics of Unharmonic Wave Packets in Stratified Media [in Russian], Nauka, Moscow (2010).

    MATH  Google Scholar 

  6. V.V. Bulatov and Yu.V. Vladimirov, Waves in Stratified Media [in Russian], Nauka, Moscow (2015).

    MATH  Google Scholar 

  7. S.Yu. Dobrokhotov, D.A. Lozhnikov, and C.A. Vargas, “Asymptotics of Waves on the Shallow Water Generated by Spatially-Localized Sources and Trapped by Underwater Ridges,” Russ. J. Math. Phys. 20 (1), 11 (2013).

    Article  MATH  MathSciNet  Google Scholar 

  8. V.V. Bulatov, Yu.V. Vladimirov, and I.Yu. Vladimirov, “Uniform Asymptotics of the Far Fields of the Surface Disturbances Produced by a Source in a Heavy Infinite-Depth Fluid,” Fluid Dynamics 49 (5), 655–661 (2014).

    Article  MATH  MathSciNet  Google Scholar 

  9. V.A. Borovikov, “Uniform Stationary Phase Method,” IEEEWaves. Ser. 40. London (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 119526, Russia

    V. V. Bulatov & Yu. V. Vladimirov

  2. Shirshov Institute of Oceanology, Russian Academy of Sciences, Nakhimovskii pr. 36, Moscow, 117997, Russia

    I. Yu. Vladimirov

Authors
  1. V. V. Bulatov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. V. Vladimirov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. Yu. Vladimirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Bulatov.

Additional information

Original Russian Text © V.V. Bulatov, Yu.V. Vladimirov, I.Yu. Vladimirov, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2017, No. 5, pp. 23–29.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bulatov, V.V., Vladimirov, Y.V. & Vladimirov, I.Y. Far fields of the surface disturbances produced by a pulsating source in an infinite-depth fluid. Fluid Dyn 52, 617–622 (2017). https://doi.org/10.1134/S0015462817050039

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462817050039

Keywords

Search

Navigation