Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves

DOI10.1090/spmj/1696zbMath1485.35307OpenAlexW4214925208MaRDI QIDQ5064488

A. Yu. Anikin, S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii, Anna V. Tsvetkova

Publication date: 16 March 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1696

zbMATH Keywords

billiardslong waves on waterasymptotic eigenfunctionswave operator with degenerate speed

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (3)

Asymptotics of long nonlinear coastal waves in basins with gentle shores ⋮ Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory ⋮ Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory

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