Estimation of accuracy of an asymptotic solution of the generalized Cauchy problem for the Boussinesq equation as applied to the potential model of tsunami with a ``simple source

DOI10.1134/S1061920817040112zbMath1432.76204OpenAlexW2771605339MaRDI QIDQ1702423

S. Ya. Sekerzh-Zen'kovich

Publication date: 28 February 2018

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920817040112

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic analysis applied to problems in fluid mechanics (76M35) Seismology (including tsunami modeling), earthquakes (86A15) PDEs in connection with geophysics (35Q86)

Cites Work

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• Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients
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• Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom
• 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
• Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions

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