Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves
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Publication:2334917
DOI10.1134/S0001434619050158zbMath1426.37049OpenAlexW2955487588MaRDI QIDQ2334917
S. Yu. Dobrokhotov, A. Yu. Anikin, Vladimir E. Nazaikinskii, Anna V. Tsvetkova
Publication date: 8 November 2019
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434619050158
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Related Items (6)
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves ⋮ Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls ⋮ Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points ⋮ Asymptotics of long nonlinear coastal waves in basins with gentle shores ⋮ Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory ⋮ Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problems
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