No Pure Capillary Solitary Waves Exist in 2D Finite Depth
DOI10.1137/21M1414723zbMath1494.76019arXiv2104.07845OpenAlexW3153720645MaRDI QIDQ5092897
Ben Pineau, Mihaela Ifrim, Daniel Tataru, Mitchell A. Taylor
Publication date: 26 July 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07845
conformal mapRiemann mapping theoremholomorphic coordinatescapillary solitary wave nonexistencecritical Besov regularity
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Complex variables methods applied to problems in fluid mechanics (76M40)
Cites Work
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- On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water
- Steady periodic capillary waves with vorticity
- A theory of solitary water-waves in the presence of surface tension
- On solitary water-waves of finite amplitude
- On the Stokes conjecture for the wave of extreme form
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- On the Besov regularity of conformal maps and layer potentials on nonsmooth domains.
- Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru.
- Finite depth gravity water waves in holomorphic coordinates
- Existence and conditional energetic stability of capillary-gravity solitary water waves by minimisation
- Existence by minimisation of solitary water waves on an ocean of infinite depth
- Local bifurcation for steady periodic capillary water waves with constant vorticity
- Nonexistence of subcritical solitary waves
- Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves
- Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Steady water waves
- An exact solution for progressive capillary waves of arbitrary amplitude
- Solitary-wave solutions of nonlinear problems
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Limiting forms for capillary-gravity waves
- Capillary–gravity waves of solitary type on deep water
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- On periodic water-waves and their convergence to solitary waves in the long-wave limit
- NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS
- Exact large amplitude capillary waves on sheets of fluid
- The existence of solitary water waves
- On the existence of a wave of greatest height and Stokes’s conjecture
- Steady Water Waves
- A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
- No solitary waves exist on 2D deep water
- Traveling water waves — the ebb and flow of two centuries
- No solitary waves in 2D gravity and capillary waves in deep water
- Gravity perturbed Crapper waves
- Nonlinear three-dimensional gravity–capillary solitary waves
- Regularity of Steady Periodic Capillary Water Waves with Constant Vorticity
- The solitary wave and periodic waves in shallow water
- The existence of solitary waves
- A Morawetz inequality for water waves
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