Bloch Theory and Spectral Gaps for Linearized Water Waves
From MaRDI portal
Publication:4691131
DOI10.1137/17M113561XzbMath1401.76035arXiv1706.07417MaRDI QIDQ4691131
Maxime Gazeau, Christophe Lacave, Walter Craig, Catherine Sulem
Publication date: 18 October 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07417
Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Affine-periodic solutions by asymptotic method ⋮ Linear modes for channels of constant cross-section and approximate Dirichlet-Neumann operators ⋮ A Model for the Periodic Water Wave Problem and Its Long Wave Amplitude Equations ⋮ Spectral and scattering theory of one-dimensional coupled photonic crystals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Water waves over a rough bottom in the shallow water regime
- Numerical simulation of gravity waves
- Diffractive geometric optics for Bloch wave packets
- Exact Floquet theory for waves over arbitrary periodic topographies
- Water waves over a random bottom
- Apparent diffusion due to topographic microstructure in shallow waters
- Gravity Waves in a Channel with a Rough Bottom
- Nonlinear modulation of gravity waves: a rigorous approach
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- Hamiltonian long–wave expansions for water waves over a rough bottom