Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity
From MaRDI portal
Publication:740344
DOI10.1007/S00021-011-0056-ZzbMath1294.76068OpenAlexW2045819457MaRDI QIDQ740344
Publication date: 2 September 2014
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-011-0056-z
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items (19)
Analyticity of Rotational Water Waves ⋮ On the symmetry of equatorial travelling water waves with constant vorticity and stagnation points ⋮ Dispersion relations for gravity water flows with two rotational layers ⋮ Global bifurcation for water waves with capillary effects and constant vorticity ⋮ Periodic capillary-gravity water waves of small amplitude ⋮ Equatorial wind waves with capillary effects and stagnation points ⋮ Dispersion relations for periodic water waves with surface tension and discontinuous vorticity ⋮ Regularity of traveling free surface water waves with vorticity ⋮ Existence of capillary-gravity water waves with piecewise constant vorticity ⋮ Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity ⋮ Dispersion relations for rotational gravity water flows having two jumps in the vorticity distribution ⋮ Particle dynamics in the KdV approximation ⋮ Capillary-gravity water waves: modified flow force formulation ⋮ A new application of Crapper's exact solution to waves in constant vorticity flows ⋮ Capillary-gravity water waves with discontinuous vorticity: existence and regularity results ⋮ An alternative approach to study irrotational periodic gravity water waves ⋮ Steady periodic waves bifurcating for fixed-depth rotational flows ⋮ An analysis of some exact solutions for stratified wind-stress flows with centripetal effects ⋮ Analyticity of rotational traveling capillary-gravity waves with critical layers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth
- Analyticity of periodic traveling free surface water waves with vorticity
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- The trajectories of particles in Stokes waves
- Steady water waves with a critical layer
- Regularity in elliptic free boundary problems. I
- Elliptic partial differential equations of second order
- On the deep water wave motion
- On the regularity of deep-water waves with general vorticity distributions
- An exact solution for progressive capillary waves of arbitrary amplitude
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- On the regularity of the Neumann problem for free surfaces with surface tension
- Steady Periodic Capillary‐Gravity Waves with Vorticity
- On the Deep-Water Stokes Wave Flow
- Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves
- Exact large amplitude capillary waves on sheets of fluid
- A Modern Introduction to the Mathematical Theory of Water Waves
- Exact steady periodic water waves with vorticity
- Edge waves along a sloping beach
- Pressure beneath a Stokes wave
- Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
- Particle trajectories in linear periodic capillary and capillary–gravity water waves
- On Gerstner's Water Wave
- A Note on Harmonic Functions and a Hydrodynamical Application
This page was built for publication: Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity
