Steady water waves with multiple critical layers

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Abstract

We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady two-dimensional finite-depth gravity water waves with vorticity.

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)1436-1456
TidskriftSIAM Journal on Mathematical Analysis
Volym43
Utgåva nummer3
StatusPublished - 2011
PublikationskategoriForskning
Peer review utfördJa