Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls

DOI10.1134/S0012266119050069zbMath1418.37094OpenAlexW2951025199MaRDI QIDQ2319422

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

Publication date: 19 August 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119050069

zbMATH Keywords

Hamiltonian systemasymptotic eigenfunctionstwo-dimensional billiards, integrability

Mathematics Subject Classification ID

Related Items (5)

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