Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source

DOI10.1134/S0965542520080072zbMath1450.35257OpenAlexW3092126061MaRDI QIDQ2206380

S. Yu. Dobrokhotov, M. V. Klimenko, Anton A. Tolchennikov, I. A. Nosikov

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520080072

zbMATH Keywords

functionalfrontsFermat's principleocean wavesraystsunamimethod of bicharacteristics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Seismology (including tsunami modeling), earthquakes (86A15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) PDEs in connection with geophysics (35Q86)

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Cites Work

• Unnamed Item
• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions
• A variational approach to reconstruction of an initial tsunami source perturbation
• Description of tsunami propagation based on the Maslov canonical operator
• Focused tsunami waves

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