Harmonic stability of standing water waves

Computation of three-dimensional standing water waves

New standing solitary waves in water.

By means of the parametric excitation of water waves in a Hele-Shaw cell, we report the existence of two new types of highly localized, standing surface waves of large amplitude. They are, respectively, of odd and even symmetry. Both standing waves oscillate subharmonically with the forcing frequency. The two-dimensional even pattern presents a certain similarity in the shape with the 3D axisym...

Nash-Moser Theory for Standing Water Waves

On stability of standing waves of nonlinear Dirac equations

We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prove at the same time orbital and asymptotic stability. We are not able to get the full result proved in [26] for the nonlinear Schrödinger equation, because of the strong indefiniteness of the energy.

Stability of standing matter waves in a trap

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