Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory
DOI10.1134/s1061920823040106MaRDI QIDQ6146927
A. I. Klevin, Anna V. Tsvetkova
Publication date: 15 January 2024
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbations in context of PDEs (35B20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Moving boundary problems for PDEs (35R37)
Cites Work
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- On first integrals of geodesic flows on a two-torus
- The asymptotic eigenfunctions of the operator \(\nabla D(x,y)\nabla\) corresponding to Liouville metrics and waves on water captured by bottom irregularities
- Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem
- Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach
- 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
- The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
- Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls
- Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves
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