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Splash singularity for water waves

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 fr...

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Detalhes bibliográficos
Main Authors: Castro, Angel, Córdoba, Diego, Fefferman, Charles L., Gancedo, Francisco, Gómez-Serrano, Javier
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2012
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC3271900/
https://ncbi.nlm.nih.gov/pubmed/22219372
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1115948108
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