Skip to main content

Global solutions for the gravity water waves system in 2d

Author(s): Ionescu, Alexandru D; Pusateri, Fabio Giuseppe

Download
To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1994w
Full metadata record
DC FieldValueLanguage
dc.contributor.authorIonescu, Alexandru D-
dc.contributor.authorPusateri, Fabio Giuseppe-
dc.date.accessioned2017-11-21T19:42:57Z-
dc.date.available2017-11-21T19:42:57Z-
dc.date.issued2015-03en_US
dc.identifier.citationIonescu, Alexandru D, Pusateri, Fabio. (2015). Global solutions for the gravity water waves system in 2d. INVENTIONES MATHEMATICAE, 199 (653 - 804. doi:10.1007/s00222-014-0521-4en_US
dc.identifier.issn0020-9910-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1994w-
dc.description.abstractWe consider the gravity water waves system in the case of a one dimensional interface, for sufficiently smooth and localized initial data, and prove global existence of small solutions. This improves the almost global existence result of Wu (Invent Math 177(1): 45-135, 2009). We also prove that the asymptotic behavior of solutions as time goes to infinity is different from linear, unlike the three dimensional case (Germain et al., Ann Math 175(2):691-754, 2012; Wu, Invent Math 184(1):125-220, 2011). In particular, we identify a suitable nonlinear logarithmic correction and show modified scattering. The solutions we construct in this paper appear to be the first global smooth nontrivial solutions of the gravity water waves system in 2D.en_US
dc.format.extent653 - 804en_US
dc.language.isoenen_US
dc.relation.ispartofINVENTIONES MATHEMATICAEen_US
dc.rightsAuthor's manuscripten_US
dc.titleGlobal solutions for the gravity water waves system in 2den_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s00222-014-0521-4-
dc.date.eissued2014-05-27en_US
dc.identifier.eissn1432-1297-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

Files in This Item:
File Description SizeFormat 
1303.5357v2.pdf957.76 kBAdobe PDFView/Download


Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.