Application of the generalized stationary phase method to the asymptotics of the tsunami head wave in the hydrodynamic piston model
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Publication:2334640
DOI10.1134/S1061920819030099zbMath1448.86011OpenAlexW2971807429MaRDI QIDQ2334640
Publication date: 7 November 2019
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920819030099
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Seismology (including tsunami modeling), earthquakes (86A15)
Cites Work
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- Simple asymptotic solution of the Cauchy-Poisson problem for head waves
- Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom
- Generalized method of stationary phase for the Fourier transform of a rapidly oscillating function
- Analytical study of a potential model of tsunami with a simple source of piston type. I: Exact solution. Creation of tsunami
- Analytic study of a potential model of tsunami with a simple source of piston type. II: Asymptotic formula for the height of tsunami in the far field
- Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source
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