Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity

DOI10.1016/j.nonrwa.2014.06.003zbMath1334.35245OpenAlexW2049092886MaRDI QIDQ457571

Calin Iulian Martin

Publication date: 29 September 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.06.003

zbMATH Keywords

regularity of solutionsequatorial gravity wavesgeneral vorticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (6)

On the rotation-two-component Camassa-Holm system modelling the equatorial water waves ⋮ On the symmetry of equatorial travelling water waves with constant vorticity and stagnation points ⋮ Partially reflected waves in water of finite depth ⋮ An analysis of some exact solutions for stratified wind-stress flows with centripetal effects ⋮ Velocity field and pressure analysis of equatorial flows beneath solitary water waves ⋮ Analyticity of rotational traveling capillary-gravity waves with critical layers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the symmetry of periodic gravity water waves with vorticity.
• On equatorial wind waves.
• Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results
• An exact solution for equatorial geophysical water waves with an underlying current
• 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
• Steady water waves with a critical layer
• Regularity in elliptic free boundary problems. I
• Stokes waves
• Elliptic partial differential equations of second order
• Analyticity of the interface in a free boundary problem
• Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity
• Regularity of traveling periodic stratified water waves with vorticity
• Mean velocities in a Stokes wave
• Equatorial wind waves with capillary effects and stagnation points
• Existence of capillary-gravity water waves with piecewise constant vorticity
• On the existence of equatorial wind waves
• Symmetry of steady periodic gravity water waves with vorticity
• Capillary-gravity water waves with discontinuous vorticity: existence and regularity results
• On the symmetry of steady equatorial wind waves
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Steady Water Waves with Multiple Critical Layers
• An exact solution for geophysical equatorial edge waves over a sloping beach
• Analyticity of the Streamlines for Periodic Traveling Water Waves with Bounded Vorticity
• Exact steady periodic water waves with vorticity
• Symmetry of steady periodic surface water waves with vorticity
• Pressure beneath a Stokes wave
• Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
• Recovery of steady periodic wave profiles from pressure measurements at the bed

This page was built for publication: Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity