Geodesic
The Benjamin-Ono approximation for 2D gravity water waves with constant vorticity
Ars Inveniendi Analytica (2022).

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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.
Publié le :
DOI : 10.15781/chkn-sn69 
@article{10_15781_chkn_sn69,
     author = {Mihaela Ifrim and James Rowan and Daniel Tataru and Lizhe Wan},
     title = {The {Benjamin-Ono} approximation for {2D} gravity water waves with constant
  vorticity},
     journal = {Ars Inveniendi Analytica},
     publisher = {mathdoc},
     year = {2022},
     doi = {10.15781/chkn-sn69},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.15781/chkn-sn69/}
}
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Mihaela Ifrim; James Rowan; Daniel Tataru; Lizhe Wan. The Benjamin-Ono approximation for 2D gravity water waves with constant
  vorticity. Ars Inveniendi Analytica (2022). doi : 10.15781/chkn-sn69. http://geodesic.mathdoc.fr/articles/10.15781/chkn-sn69/

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