On Local Singularities in Ideal Potential Flows with Free Surface

Despite important advances in the mathematical analysis of the Euler equations for water waves, especially over the last two decades, it is not yet known whether local singularities can develop from smooth data in well-posed initial value problems. For ideal free-surface flow with zero surface tensi...

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Veröffentlicht in:	Chinese annals of mathematics. Serie B 2019-11, Vol.40 (6), p.925-948
Hauptverfasser:	Liu, Jian-Guo, Pego, Robert L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundary value problems Conformal mapping Euler-Lagrange equation Free surfaces Mathematics Mathematics and Statistics Potential flow Singularity (mathematics) Surface tension Two dimensional flow Water waves Well posed problems
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