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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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| Hlavní autoři: | , , , , |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
National Academy of Sciences
2012
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| Témata: | |
| On-line přístup: | 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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