Existence of Multimodal Standing Gravity Waves - Université Côte d'Azur
Journal Articles Journal of Mathematical Fluid Mechanics Year : 2005

Existence of Multimodal Standing Gravity Waves

Abstract

We consider two-dimensional standing gravity waves on the surface of an infinitely deep perfect fluid, the flow being potential. It is known that the linearized problem is completely resonant. Following the method described in [4], we prove the existence of an infinity of multimodal standing gravity waves, corresponding to any choice of asymptotic expansion in powers of the amplitude ε, indicated in [2] and [3]. Each one of these solutions exist for a set of values of ε being dense in 0.
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Dates and versions

hal-01265188 , version 1 (31-01-2016)

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Cite

Gérard Iooss, Pavel Plotnikov. Existence of Multimodal Standing Gravity Waves. Journal of Mathematical Fluid Mechanics, 2005, 7 (S), pp.16. ⟨10.1007/s00021-005-0164-8⟩. ⟨hal-01265188⟩
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