Transverse instability of the line solitary water-waves

• 成果类型: Article
• 署名作者: Rousset, Frederic; Tzvetkov, Nikolay
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); CY Cergy Paris Universite; Universite de Rennes
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0290-7
• 发表日期: 2011
• 页码: 257-388
• 关键词: surface-tension; well-posedness; nonlinear instability; EXISTENCE; EQUATIONS; EULER; approximation; STABILITY; BOUNDARY; motion

摘要

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