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Splash singularity for water waves

Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gomez-Serrano, Javier

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dc.contributor.authorCastro, Angel-
dc.contributor.authorCordoba, Diego-
dc.contributor.authorFefferman, Charles L.-
dc.contributor.authorGancedo, Francisco-
dc.contributor.authorGomez-Serrano, Javier-
dc.date.accessioned2019-12-10T20:05:38Z-
dc.date.available2019-12-10T20:05:38Z-
dc.date.issued2012-01-17en_US
dc.identifier.citationCastro, Angel, Cordoba, Diego, Fefferman, Charles L, Gancedo, Francisco, Gomez-Serrano, Javier. (2012). Splash singularity for water waves. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 109 (733 - 738). doi:10.1073/pnas.1115948108en_US
dc.identifier.issn0027-8424-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1bq9v-
dc.description.abstractWe exhibit smooth initial data for the two-dimensional (2D) water-wave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical evidence that there exist solutions of the 2D water-wave equation that start from a graph, turn over, and collapse in a splash singularity (self-intersecting curve in one point) in finite time.en_US
dc.format.extent733 - 738en_US
dc.language.isoen_USen_US
dc.relation.ispartofPROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICAen_US
dc.rightsAuthor's manuscripten_US
dc.titleSplash singularity for water wavesen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1073/pnas.1115948108-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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