{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"omics_type":["Unknown"],"volume":["109(3)"],"submitter":["Castro A"],"pubmed_abstract":["We 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."],"journal":["Proceedings of the National Academy of Sciences of the United States of America"],"pagination":["733-8"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC3271900"],"repository":["biostudies-literature"],"pubmed_title":["Splash singularity for water waves."],"pmcid":["PMC3271900"],"pubmed_authors":["Fefferman CL","Cordoba D","Gomez-Serrano J","Castro A","Gancedo F"],"additional_accession":[]},"is_claimable":false,"name":"Splash singularity for water waves.","description":"We 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.","dates":{"release":"2012-01-01T00:00:00Z","publication":"2012 Jan","modification":"2025-04-19T08:04:03.533Z","creation":"2019-03-27T00:48:42Z"},"accession":"S-EPMC3271900","cross_references":{"pubmed":["22219372"],"doi":["10.1073/pnas.1115948108"]}}