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|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.|
|Citation:||Castro, 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.1115948108|
|Pages:||733 - 738|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA|
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