Global bifurcation of irrotational water waves using a flow force formulation

DOI10.1016/j.jde.2021.07.042zbMath1473.76007OpenAlexW3195568078MaRDI QIDQ822736

Publication date: 23 September 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.042

zbMATH Keywords

global existence Crandall-Rabinowitz bifurcation theory finite depth wave pressure term weak stagnation point

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

Global bifurcation theory for periodic traveling interfacial gravity-capillary waves
Global bifurcation for water waves with capillary effects and constant vorticity
Periodic traveling gravity water waves with discontinuous vorticity
Steady periodic water waves with constant vorticity: Regularity and local bifurcation
Large-amplitude steady rotational water waves
Global continuation in nonlinear elasticity
Stokes waves
Elliptic partial differential equations of second order
Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
Capillary-gravity water waves: modified flow force formulation
A flow force reformulation for steady irrotational water waves
Global bifurcation of steady gravity water waves with critical layers
Steady stratified periodic gravity waves with surface tension. I: Local bifurcation.
Some global results for nonlinear eigenvalue problems
Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows
Steady periodic waves bifurcating for fixed-depth rotational flows
Global bifurcation of capillary–gravity-stratified water waves
Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
Multiple eigenvalue bifurcation for Fredholm operators.
Effect of vorticity on steady water waves
Stratified Steady Periodic Water Waves
Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
Waves and conjugate streams with vorticity
Exact steady periodic water waves with vorticity
On the existence of two-dimensional irrotational water waves over finite depth with uniform current
Pressure beneath a Stokes wave
On the theory of steady-state waves of finite amplitude
On cnoidal waves and bores

This page was built for publication: Global bifurcation of irrotational water waves using a flow force formulation