Non-existence of three-dimensional travelling water waves with constant non-zero vorticity

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Abstract

We prove that there are no three-dimensional bounded travelling gravity waves with constant non-zero vorticity on water of finite depth. The result also holds for gravity–capillary waves under a certain condition on the pressure at the surface, which is satisfied by sufficiently small waves. The proof relies on unique continuation arguments and Liouville-type results for elliptic equations.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)R2
TidskriftJournal of Fluid Mechanics
Volym746
StatusPublished - 2014
PublikationskategoriForskning
Peer review utfördJa

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