Skip to main content
SpringerLink
Log in

Bottom pressure caused by passage of a solitary wave within the strongly nonlinear Green-Naghdi model

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

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

References

  1. C. T. Bishop, Coastal Eng. 11(4), 309 (1987).

    Article  Google Scholar 

  2. M. M. Zaslavskii and V. P. Krasitskii, Okeanologiya 41(2), 195 (2001).

    Google Scholar 

  3. C.-H. Tsai, M. C. Huang, F. J. Young, Y. C. Lin, and H. W. Li, Ocean Eng. 32, 1247 (2005).

    Article  Google Scholar 

  4. K. I. Kuznetsov, A. A. Kurkin, E. N. Pelinovsky, and P. D. Kovalev, Izvestiya, Atmospheric and Ocean Physics 50(2), 213 (2014).

    Article  ADS  Google Scholar 

  5. A. Constantin, J. Escher, and H.-C. Hsu, Arch. Ration. Mech. Anal. 201, 251 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  6. B. Deconink, K. L. Olivears, and V. Vasan, J. Nonlin. Math. Phys. 19, 1240014–1-11 (2012).

    Google Scholar 

  7. A. E. Green and P. M. Naghdi, J. Fluid Mech. 78, 237 (1976).

    Article  ADS  MATH  Google Scholar 

  8. M. I. Zheleznyak and E. N. Pelinovsky, in Tsunami Run-up on Coast (IPF AN SSSR, Gorkii, 1985), pp. 8–33 [in Russian].

    Google Scholar 

  9. N. I. Makarenko, in Continuum Dynamics (In-t Gidrodinamiki SO AN SSSR, Novosibirsk, 1986), No. 77, pp. 56–72 [in Russian].

    Google Scholar 

  10. R. Camassa, D. D. Holm, and C. D. Levermore, Physica D (Amsterdam) 98, 258 (1996).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. B. Alvarez-Samaniego and D. Lannes, Invent. Math. 171, 485 (2008).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Z. I. Fedotova and G. S. Khakimzyanov, Vychisl. Tekhnologii 17, 94 (2012).

    Google Scholar 

  13. E. N. Pelinovsky, Hydrodynamics of Tsunami Waves (IPF RAN, N. Novgorod, 1996) [in Russian].

    Google Scholar 

  14. J. Touboul and E. Pelinovsky, Europ. J. Mech. B. Fluids 48, 13 (2014).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, 603600, Russia

    E. N. Pelinovsky

  2. Nizhny Novgorod State Technical University named after Alekseev, Nizhny Novgorod, 603950, Russia

    E. N. Pelinovsky, K. I. Kuznetsov & A. A. Kurkin

  3. Russian University of Peoples’ Friendship, Moscow, 117198, Russia

    K. I. Kuznetsov

  4. Institute of Marine Geology and Geophysics, Far East Branch, Russian Academy of Sciences, Yuzhno-Sakhalinsk, 693002, Russia

    K. I. Kuznetsov

  5. University de Toulon, La Garde, France

    J. Touboul

  6. Aix Marseille University, Marseille, France

    J. Touboul

Authors
  1. E. N. Pelinovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. I. Kuznetsov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Touboul
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. A. Kurkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. N. Pelinovsky.

Additional information

Original Russian Text © E.N. Pelinovsky, K.I. Kuznetsov, J. Touboul, A.A. Kurkin, 2015, published in Doklady Akademii Nauk, 2015, Vol. 461, No. 4, pp. 414–417.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pelinovsky, E.N., Kuznetsov, K.I., Touboul, J. et al. Bottom pressure caused by passage of a solitary wave within the strongly nonlinear Green-Naghdi model. Dokl. Phys. 60, 171–174 (2015). https://doi.org/10.1134/S1028335815040035

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335815040035

Keywords

Search

Navigation