The Existence of Three-Dimensional Multi-Hump Gravity-Capillary Surface Waves on Water of Finite Depth
From MaRDI portal
Publication:4985458
DOI10.1137/20M1319991zbMath1465.76015OpenAlexW3152986828MaRDI QIDQ4985458
No author found.
Publication date: 23 April 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1319991
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Euler equations (35Q31)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Small divisor problems in fluid mechanics
- Transverse instability of the line solitary water-waves
- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- Asymmetrical three-dimensional travelling gravity waves
- Three-dimensional gravity-capillary waves on water -- small surface tension case
- A simple global characterization for normal forms of singular vector fields
- A theory of solitary water-waves in the presence of surface tension
- On the existence of small amplitude solitary waves with strong surface tension
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference
- Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
- Bifurcation theory. An introduction with applications of PDEs
- Wave-solutions of reversible systems and applications
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Exact two-dimensional multi-hump waves on water of finite depth with small surface tension
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
- Caractérisation de quelques espaces d'interpolation
- A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
- A plethora of generalised solitary gravity–capillary water waves
- Multi-hump solutions with small oscillations at infinity for stationary Swift–Hohenberg equation
- Exact solitary water waves with capillary ripples at infinity
- Small divisor problem in the theory of three-dimensional water gravity waves
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Symmetry of solitary waves
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- Three-dimensional, nonlinear wave interaction in water of constant depth
- Water waves for small surface tension: an approach via normal form
- The existence of solitary water waves
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- Hamiltonian structure, symmetries and conservation laws for water waves
- A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
- Exact Theory of Three-Dimensional Water Waves at the Critical Speed
- Multi-solitons and Related Solutions for the Water-waves System
- The existence of solitary waves
- An existence theory for three-dimensional periodic travelling gravity-capillary water waves with bounded transverse profiles
