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Creators/Authors contains: "Rowan, James"

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  1. ; ; ; (, Ars inveniendi analytica)
    Accepted Manuscript Full Text Available
  2. ; ; ; (, Ars Inveniendi Analytica)
    This article is concerned with infinite depth gravity water waves with constant vorticity in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. We show that, for low-frequency solutions, the Benjamin-Ono equation gives a good and stable approximation to the system on the natural cubic time scale. The proof relies on refined cubic energy estimates and perturbative analysis. 
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