Editing Capillary waves
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Laplace's equation then requires on the later | Laplace's equation then requires on the later | ||
:<math>f''(z)= q^2 f(z) .</math> | :<math>f''(z)=-q^2 f(z) .</math> | ||
This equation can be solved with the proper boundary conditions: first, <math>\vec{v}</math> must vanish well below the surface (in the "deep water" case, which is the one we consider, otherwise a more general relation holds, which is also well known in oceanography). Therefore | This equation can be solved with the proper boundary conditions: first, <math>\vec{v}</math> must vanish well below the surface (in the "deep water" case, which is the one we consider, otherwise a more general relation holds, which is also well known in oceanography). Therefore |