Some explicit solutions of the three-dimensional Euler equations with a free surface
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Publication:2089724
DOI10.1007/s00208-021-02323-2OpenAlexW4200112434MaRDI QIDQ2089724
Publication date: 24 October 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-021-02323-2
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Free boundary problems for PDEs (35R35) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Stratification effects in inviscid fluids (76B70) Euler equations (35Q31)
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Cites Work
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- Global bifurcation for water waves with capillary effects and constant vorticity
- An exact solution for equatorial geophysical water waves with an underlying current
- On stratified steady periodic water waves with linear density distribution and stagnation points
- Analyticity of periodic traveling free surface water waves with vorticity
- Asymmetrical three-dimensional travelling gravity waves
- Local stability for an exact steady purely azimuthal flow which models the antarctic circumpolar current
- The trajectories of particles in Stokes waves
- An exact solution for geophysical edge waves in the \(f\)-plane approximation
- Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification
- Exact, free-surface equatorial flows with general stratification in spherical coordinates
- Local stability for an exact steady purely azimuthal equatorial flow
- On stratified water waves with critical layers and Coriolis forces
- A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current
- Stratified periodic water waves with singular density gradients
- Global bifurcation of steady gravity water waves with critical layers
- On the deep water wave motion
- An exact solution for geophysical equatorial edge waves over a sloping beach
- An exact solution for progressive capillary waves of arbitrary amplitude
- Stratified equatorial flows in cylindrical coordinates
- A Hamiltonian approach to wave-current interactions in two-layer fluids
- Stratified Steady Periodic Water Waves
- Small divisor problem in the theory of three-dimensional water gravity waves
- Three-dimensional, nonlinear wave interaction in water of constant depth
- Local stability conditions in fluid dynamics
- Exact steady periodic water waves with vorticity
- Instability criteria for the flow of an inviscid incompressible fluid
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- On the short-wavelength stabilities of some geophysical flows
- Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography
- Non-existence of three-dimensional travelling water waves with constant non-zero vorticity
- Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates
- On Gerstner's Water Wave
- Gerstner waves in the presence of mean currents and rotation
- Exact geophysical waves in stratified fluids
- On the existence of steady periodic capillary-gravity stratified water waves
- Particle trajectories in solitary water waves
- Equatorial wave-current interactions
