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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].
@article{BSMF_2016__144_2_369_0,
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},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {144},
number = {2},
year = {2016},
doi = {10.24033/bsmf.2717},
mrnumber = {3499085},
zbl = {1360.35179},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2717/}
}
TY - JOUR AU - Ifrim, Mihaela AU - Tataru, Daniel TI - Two dimensional water waves in holomorphic coordinates II: global solutions JO - Bulletin de la Société Mathématique de France PY - 2016 SP - 369 EP - 394 VL - 144 IS - 2 PB - Société mathématique de France UR - http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2717/ DO - 10.24033/bsmf.2717 LA - en ID - BSMF_2016__144_2_369_0 ER -
%0 Journal Article %A Ifrim, Mihaela %A Tataru, Daniel %T Two dimensional water waves in holomorphic coordinates II: global solutions %J Bulletin de la Société Mathématique de France %D 2016 %P 369-394 %V 144 %N 2 %I Société mathématique de France %U http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2717/ %R 10.24033/bsmf.2717 %G en %F BSMF_2016__144_2_369_0
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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