Steady Internal Water Waves with a Critical Layer Bounded by the Wave Surface

DOI10.1142/S1402925112500088zbMath1238.35103arXiv1202.3029MaRDI QIDQ2883218

Anca-Voichita Matioc

Publication date: 11 May 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3029

zbMATH Keywords

vorticitystreamlinesinternal wavesreal-analytic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Internal waves for incompressible inviscid fluids (76B55)

Related Items

Hamiltonian structure for rotational capillary waves in stratified flows ⋮ Analyticity of Rotational Water Waves ⋮ Global bifurcation theory for periodic traveling interfacial gravity-capillary waves ⋮ Global bifurcation for water waves with capillary effects and constant vorticity ⋮ Stratified periodic water waves with singular density gradients ⋮ Existence of capillary-gravity water waves with piecewise constant vorticity ⋮ A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows ⋮ Variational formulation of rotational steady water waves in two-layer flows ⋮ Capillary-gravity water waves with discontinuous vorticity: existence and regularity results ⋮ Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity

Cites Work

• On stratified steady periodic water waves with linear density distribution and stagnation points
• Analyticity of periodic traveling free surface water waves with vorticity
• On particle trajectories in linear water waves
• Periodic traveling gravity water waves with discontinuous 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
• Particle trajectories in linear water waves
• Regularity in elliptic free boundary problems. I
• Linear water waves with vorticity: Rotational features and particle paths
• Bifurcation from simple eigenvalues
• Steady Water Waves with Multiple Critical Layers
• The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
• Exact steady periodic water waves with vorticity
• A Proof of the Stokes Conjecture in the Theory of Surface Waves*
• Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
• Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
• LONG NONLINEAR INTERNAL WAVES