An alternative approach to study irrotational periodic gravity water waves
DOI10.1007/s00033-021-01578-8zbMath1470.35266OpenAlexW3183935273MaRDI QIDQ2044742
Biswajit Basu, Calin Iulian Martin
Publication date: 10 August 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01578-8
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Euler equations (35Q31)
Cites Work
- Global bifurcation for water waves with capillary effects and constant vorticity
- Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results
- Analyticity of periodic traveling free surface water waves with vorticity
- Periodic traveling gravity water waves with discontinuous vorticity
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity
- The trajectories of particles in Stokes waves
- Stokes waves
- Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity
- 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.
- Existence of capillary-gravity water waves with piecewise constant vorticity
- Symmetry of steady periodic gravity water waves with vorticity
- Capillary-gravity water waves with discontinuous vorticity: existence and regularity results
- Bifurcation from simple eigenvalues
- An experimental study of two-dimensional surface water waves propagating on depth-varying currents. Part 1. Regular waves
- Existence of Wilton Ripples for Water Waves with Constant Vorticity and Capillary Effects
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Symmetry of steady deep-water waves with vorticity
- The trajectories of particles in deep-water Stokes waves
- Stability properties of steady water waves with vorticity
- Steady Periodic Capillary‐Gravity Waves with Vorticity
- Stratified Steady Periodic Water Waves
- Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth
- Waves and conjugate streams with vorticity
- The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
- Exact steady periodic water waves with vorticity
- On the Benjamin–Lighthill conjecture for water waves with vorticity
- Symmetry of steady periodic surface water waves with vorticity
- Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
- On the existence of steady periodic capillary-gravity stratified water waves
- On the theory of steady-state waves of finite amplitude
- On cnoidal waves and bores
- The dynamics of waves interacting with the Equatorial Undercurrent
This page was built for publication: An alternative approach to study irrotational periodic gravity water waves