Transverse linear stability of line periodic traveling waves for water-wave models
From MaRDI portal
Publication:2053948
DOI10.5802/slsedp.133zbMath1479.35076OpenAlexW2958463445MaRDI QIDQ2053948
Publication date: 30 November 2021
Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/slsedp.133
Kadomtsev-Petviashvili equationsfull Euler equationsabstract stability criteriasufficient conditions for spectral stability
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Traveling wave solutions (35C07)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A dimension-breaking phenomenon for water waves with weak surface tension
- Transverse dynamics of two-dimensional gravity-capillary periodic water waves
- The orbital stability of the cnoidal waves of the Korteweg-de Vries equation
- Stability and instability of the KdV solitary wave under the KP-I flow
- A simple criterion for transverse linear instability of nonlinear waves
- Transverse instability of the line solitary water-waves
- Stability of the line soliton of the KP-II equation under periodic transverse perturbations
- Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
- On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
- Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
- On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation
- A simple criterion of transverse linear instability for solitary waves
- Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators
- Transverse instability of gravity-capillary line solitary water waves
- Stability of line solitons for the KP-II equation in ℝ²
- Transverse Spectral Stability of Small Periodic Traveling Waves for the KP Equation
- Steady water waves
- Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- Water waves for small surface tension: an approach via normal form
- Steady Water Waves
- A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
- Transverse instability for periodic waves of KP-I and Schroedinger equations
- Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
- Count of eigenvalues in the generalized eigenvalue problem
- Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
This page was built for publication: Transverse linear stability of line periodic traveling waves for water-wave models
