Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source

DOI10.1134/S1061920820020041zbMath1448.35391OpenAlexW3031210284MaRDI QIDQ2187312

S. Yu. Dobrokhotov, Anton A. Tolchennikov, Vladimir E. Nazaikinskii

Publication date: 2 June 2020

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

Full work available at URL: https://doi.org/10.1134/s1061920820020041

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) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (8)

Local asymptotics of unfoldings of edge and corner catastrophes ⋮ Canonical operator on punctured Lagrangian manifolds ⋮ Asymptotics of the solution of the Cauchy problem with localized initial conditions for a wave type equation with time dispersion. I: Basic structures ⋮ Canonical operator on punctured Lagrangian manifolds and commutation with pseudodifferential operators: local theory ⋮ Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory ⋮ Keplerian trajectories and an asymptotic solution of the Schrödinger equation with repulsive Coulomb potential and localized right-hand side ⋮ Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp ⋮ Asymptotics of the head wave in the Cauchy problem for a difference scheme corresponding to the two-dimensional wave equation with localized initial data

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