Transverse linear stability of line periodic traveling waves for water-wave models
type: Item
instance of: scholarly article
title: Transverse linear stability of line periodic traveling waves for water-wave models
zbMATH Open document ID: 1479.35076
author: Mariana Haragus
published in: Séminaire Laurent Schwartz. EDP et Applications
publication date: 2021-11-30T00:00:00Z
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7436144
zbMATH Keywords: abstract stability criteria
zbMATH Keywords: sufficient conditions for spectral stability
zbMATH Keywords: Kadomtsev-Petviashvili equations
zbMATH Keywords: full Euler equations
MaRDI profile type: Publication
full work available at URL: slsedp.133
OpenAlex ID: W2958463445
cites work: On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation
cites work: A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
cites work: Count of eigenvalues in the generalized eigenvalue problem
cites work: The orbital stability of the cnoidal waves of the Korteweg-de Vries equation
cites work: Q4440482
cites work: A simple criterion for transverse linear instability of nonlinear waves
cites work: Steady Water Waves
cites work: Transverse instability of gravity-capillary line solitary water waves
cites work: A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
cites work: Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
cites work: A dimension-breaking phenomenon for water waves with weak surface tension
cites work: Transverse instability for periodic waves of KP-I and Schroedinger equations
cites work: Transverse Spectral Stability of Small Periodic Traveling Waves for the KP Equation
cites work: Transverse dynamics of two-dimensional gravity-capillary periodic water waves
cites work: On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
cites work: Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators
cites work: Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
cites work: Water waves for small surface tension: an approach via normal form
cites work: Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
cites work: Q5621188
cites work: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
cites work: Q3345154
cites work: Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
cites work: Stability of line solitons for the KP-II equation in ℝ²
cites work: Stability of the line soliton of the KP-II equation under periodic transverse perturbations
cites work: A simple criterion of transverse linear instability for solitary waves
cites work: Transverse instability of the line solitary water-waves
cites work: Stability and instability of the KdV solitary wave under the KP-I flow
cites work: Steady water waves
DOI: 10.5802/SLSEDP.133
description: scientific article; zbMATH DE number 7436144