Small-amplitude steady water waves with critical layers: non-symmetric\n waves

2017/01/18 by Evgeniy Lokharu, Lokharu, Evgeniy, Vladimir Kozlov +2
Earth and Planetary Sciences · #Aquatic and Environmental Studies #Arctic and Antarctic ice dynamics #FOS: Physical sciences #Mathematical Physics (math-ph) #Ocean Waves and Remote Sensing

paper · pdf · doi:10.48550/arxiv.1701.04991

openalex publication_date 2017/01/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The problem for two-dimensional steady water waves with vorticity is\nconsidered. Using methods of spatial dynamics, we reduce the problem to a\nfinite dimensional Hamiltonian system. As an application, we prove the\nexistence of non-symmetric steady water waves when the number of roots of the\ndispersion equation is greater than 1.\n

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