Rigidity of three-dimensional steady internal waves with constant vorticity governed by the \(f\)-plane approximation

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible inviscid fluids (76Bxx) Geophysics (86Axx)

Cites Work

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Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train
Two-dimensionality of gravity water flows governed by the equatorial \(f\)-plane approximation
Resonant interactions of capillary-gravity water waves
On three-dimensional free surface water flows with constant vorticity
An existence theory for small-amplitude doubly periodic water waves with vorticity
On three-dimensional geophysical capillary-gravity water flows with constant vorticity
Hamiltonian approach to modelling interfacial internal waves over variable bottom
Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
Exact steady periodic water waves with vorticity
On constant vorticity water flows in the -plane approximation
Weakly nonlinear internal waves in a two-fluid system
Non–existence of solitary water waves in three dimensions
Fully nonlinear internal waves in a two-fluid system
Non-existence of three-dimensional travelling water waves with constant non-zero vorticity
Traveling water waves — the ebb and flow of two centuries
Gerstner waves in the presence of mean currents and rotation
Constant vorticity water flows with full Coriolis term
On Constant Vorticity Flows Beneath Two-Dimensional Surface Solitary Waves
Equatorial wave-current interactions
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface
Rigidity of three-dimensional internal waves with constant vorticity

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