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

DOI10.1134/S1061920819010072zbMath1444.86006OpenAlexW2924963561MaRDI QIDQ2424739

Anton A. Tolchennikov, S. Ya. Sekerzh-Zen'kovich

Publication date: 25 June 2019

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

Full work available at URL: https://doi.org/10.1134/s1061920819010072

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Seismology (including tsunami modeling), earthquakes (86A15)

Cites Work

• Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom
• 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