Stokes waves at the critical depth are modulationally unstable
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Publication:6119418
DOI10.1007/s00220-023-04928-xarXiv2306.13513MaRDI QIDQ6119418
Alberto Maspero, Paolo Ventura, Massimiliano Berti
Publication date: 1 March 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.13513
Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible inviscid fluids (76Bxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
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- Numerical simulation of gravity waves
- Stability of small periodic waves for the nonlinear Schrödinger equation
- On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
- The modulational instability for a generalized Korteweg-de Vries equation
- Modulation instability: The beginning
- On the Stokes conjecture for the wave of extreme form
- Traveling gravity water waves in two and three dimensions.
- A proof of the Benjamin-Feir instability
- Time quasi-periodic gravity water waves in finite depth
- Stability of traveling wave solutions of nonlinear dispersive equations of NLS type
- Time quasi-periodic traveling gravity water waves in infinite depth
- Full description of Benjamin-Feir instability of Stokes waves in deep water
- Numerical simulation of surface waves instability on a homogeneous grid
- Modulational instability in nonlinear nonlocal equations of regularized long wave type
- Traveling quasi-periodic water waves with constant vorticity
- On the analyticity of the Dirichlet-Neumann operator and Stokes waves
- The instability of periodic surface gravity waves
- Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
- On the modulation of water waves in the neighbourhood of kh ≈ 1.363
- On the existence of a wave of greatest height and Stokes’s conjecture
- On the existence theory for irrotational water waves
- The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
- Modulational Instability in the Whitham Equation for Water Waves
- The disintegration of wave trains on deep water Part 1. Theory
- Non-linear dispersion of water waves
- Contributions to the Theory of Waves in Non-linear Dispersive Systems
- Stabilizing the Benjamin–Feir instability
- High-frequency instabilities of Stokes waves
- A high-order asymptotic analysis of the Benjamin–Feir instability spectrum in arbitrary depth
- Benjamin-Feir instability of Stokes waves in finite depth
- Unstable Stokes waves
- Nonlinear modulational instabililty of the Stokes waves in 2D full water waves
- Pure gravity traveling quasi‐periodic water waves with constant vorticity
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