Transverse instability of the line solitary water-waves

2009/06/13 by Rousset, Frederic, Tzvetkov, Nikolay · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.2487

Abstract

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

Cited by

• Nonlinear instability of rolls in the 2-dimensional generalized Swift-Hohenberg equation
• Revisiting the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system

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