Transverse instability of the line solitary water-waves

Abstract

We prove the linear and nonlinear instability of the water line solitary waves with respect to transverse perturbations.

arXiv commenttypos corrected, some improvements in the presentation

References in corpus (1)

• Large time existence for 3D water-waves and asymptotics

Cited by in corpus (1)

• Asymptotic linear stability of solitary water waves