Skip to main content
SpringerLink
Log in

Application of an Asymptotic Solution of the Problem of Linear Wave Propagation on Water to the Approximation of Tsunami Mareograms of 2011 Obtained at Two DART Stations

  • Published:
Russian Journal of Mathematical Physics Aims and scope Submit manuscript

Abstract

The paper continues the investigation of 2011 tsunami waves.

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. Kh. Kh. Il’yasov, V. E. Nazaikinskii, S.Ya. Sekerzh–Zen’kovich, and A. A. Tolchennikov, “Asymptotic Estimate of the 2011 Tsunami Source Epicenter Coordinates Based on the Mareograms Recorded by the South Iwate GPS Buoy and the DART 21418 Station,” Dokl. Phys. 61 (7), 335–339 (2016) [Original Russian Text: Dokl. Akad. Nauk 469 (1), 46–50 (2016)].

    Article  ADS  Google Scholar 

  2. S. Yu. Dobrokhotov and V. E. Nazaikinskii, “Punctured Lagrangian Manifolds and Asymptotic Solutions of the Linear Water Wave Equations with Localized Initial Conditions,” Math. Notes 101 (6), 1053–1060 (2017) [In Russian: Mat. Zametki 101 (6), 936–942 (2017)].

    Article  MathSciNet  MATH  Google Scholar 

  3. S. Glimsdal, G. K. Pedersen, C. B. Harbitz, and F. Lovholt, “Dispersion of Tsunamis: Does It Really Matter?” Nat. Hazards Earth Syst. Sci. 13, 1507–1526 (2013).

    Article  ADS  Google Scholar 

  4. F. Lovholt, G. Kaiser, S. Glimsdal, L. Scheele, C. B. Harbitz, and G. Pedersen, “Modeling Propagation and Inundation of the 11 March 2011 Tohoku Tsunami,” Nat. Hazards Earth Syst. Sci. 12, 1017–1028 (2012).

    Article  ADS  Google Scholar 

  5. S. Ya. Sekerzh–Zen’kovich, “Analytic Study of a Potential Model of Tsunami with a Simple Source of Piston Type. 2. Asymptotic Formula for the Height of Tsunami in the Far Field,” Russ. J. Math. Phys. 20 (4), 542–546 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Yu. Dobrokhotov, S. Ya. Sekerzh–Zen’kovich, and A. A. Tolchennikov, “Exact and Asymptotic Solutions of the Cauchy–Poisson Problem with Localized Initial Conditions and a Constant Function of the Bottom,” Russ. J. Math. Phys. 24 (3), 310–321 (2017).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    S. Ya. Sekerzh–Zen’kovich & A. A. Tolchennikov

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Institutskii per. 9, Moscow region, 141700, Russia

    A. A. Tolchennikov

Authors
  1. S. Ya. Sekerzh–Zen’kovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Tolchennikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to S. Ya. Sekerzh–Zen’kovich or A. A. Tolchennikov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sekerzh–Zen’kovich, S.Y., Tolchennikov, A.A. Application of an Asymptotic Solution of the Problem of Linear Wave Propagation on Water to the Approximation of Tsunami Mareograms of 2011 Obtained at Two DART Stations. Russ. J. Math. Phys. 26, 70–74 (2019). https://doi.org/10.1134/S1061920819010072

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061920819010072

Search

Navigation