no. 2
Two dimensional water waves in holomorphic coordinates II: global solutions
[Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales]
Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 2, pp. 369-394

This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove that small localized data leads to global solutions. This article is a continuation of authors' earlier paper [8].

Publié le :
DOI : 10.24033/bsmf.2717
Classification : 35Q35, 76B15
Keywords: Gravity waves, normal form, wave packets, modified energy method. 
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     author = {Ifrim, Mihaela and Tataru, Daniel},
     title = {Two dimensional water waves in holomorphic coordinates {II:} global solutions},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {369--394},
     year = {2016},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {144},
     number = {2},
     doi = {10.24033/bsmf.2717},
     mrnumber = {3499085},
     zbl = {1360.35179},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2717/}
}
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Ifrim, Mihaela; Tataru, Daniel. Two dimensional water waves in holomorphic coordinates II: global solutions. Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 2, pp. 369-394. doi: 10.24033/bsmf.2717

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