In this survey article, we present results from the last several decades on several systems of PDE that model water waves. Some of those results provide shorttime existence of smooth solutions; other results establish existence of smooth solutions for all time; still other results assert that singularities form in finite time.
CITATION STYLE
Córdoba, D., & Fefferman, C. (2018). Water waves with or without surface tension. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 1329–1349). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_30
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