On stratified steady periodic water waves with linear density distribution and stagnation points
type: Item
instance of: scholarly article
title: On stratified steady periodic water waves with linear density distribution and stagnation points
zbMATH Open document ID: 1227.35232
author: Anca-Vocihita Matioc
author: Bogdan-Vasile Matioc
author: Joachim Escher
published in: Journal of Differential Equations
publication date: 2011-10-12T00:00:00Z
review text: The authors study 2D gravity water waves with variable density. They construct small periodic solutions of the corresponding incompressible variable density Euler equations statified by gravity, by using bifurcation techniques.
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B70
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 5957030
zbMATH Keywords: water waves
zbMATH Keywords: bifurcation theory
zbMATH Keywords: gravity
zbMATH Keywords: stratified
MaRDI profile type: Publication
full work available at URL: j.jde.2011.03.023
OpenAlex ID: W2072866296
cites work: On the Stokes conjecture for the wave of extreme form
cites work: Structure of a stratified tilted vortex
cites work: The trajectories of particles in Stokes waves
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
cites work: Exact steady periodic water waves with vorticity
cites work: Pressure beneath a Stokes wave
cites work: Steady periodic water waves with constant vorticity: Regularity and local bifurcation
cites work: Bifurcation from simple eigenvalues
cites work: A moving boundary problem for periodic Stokesian Hele-Shaw flows
cites work: Stability Properties of Non-Radial Steady Ferrofluid Patterns
cites work: Steady water waves with multiple critical layers: interior dynamics
cites work: Steady Water Waves with Multiple Critical Layers
cites work: Linear water waves with vorticity: Rotational features and particle paths
cites work: Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
cites work: Q4648630
cites work: Regularity in elliptic free boundary problems. I
cites work: Analyticity of the Streamlines for Periodic Traveling Water Waves with Bounded Vorticity
cites work: On the regularity of deep-water waves with general vorticity distributions
cites work: The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
cites work: Q5518064
cites work: A Proof of the Stokes Conjecture in the Theory of Surface Waves*
cites work: Turbulent flow over water waves in the presence of stratification
cites work: Stokes waves
cites work: On the existence of extreme waves and the Stokes conjecture with vorticity
cites work: Steady water waves with a critical layer
cites work: Instability and breakdown of a vertical vortex pair in a strongly stratified fluid
cites work: Stratified Steady Periodic Water Waves
cites work: Some criteria for the symmetry of stratified water waves
DOI: 10.1016/J.JDE.2011.03.023
description: scientific article; zbMATH DE number 5957030