The zero surface tension limit of three-dimensional water waves

By D. Ambrose, Nader Masmoudi. 2009

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Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum (2009, background): “We refer the reader to [2], [10], [20], [22], [33], [35], [41], [42], [43], and [46] for a partial list of papers on this topic.”
Uniform Regularity and Vanishing Viscosity Limit for the Free Surface Navier–Stokes Equations (2012, background): “Wu [55, 56] who solved the irrotational problem in dimension two and three (see also the works by Craig [14], Beale, Hou, and Lowengrub [8], Ogawa and Tani [43], Schneider and Wayne [47], Lannes [33], Ambrose and Masmoudi [3], [4]).”
Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum (2012, background): “We refer the reader to [1,9,19,21,32,34,41,42,45], and [46] for a partial list of papers on this topic.”
Finite time singularities for the free boundary incompressible Euler equations (2011, background): “r recent work on local existence see Wu [28], Christodoulou-Lindblad [12], Lindblad [21], Lannes [19], Coutand-Shkoller [15], Shatah-Zeng [25], Zhang-Zhang [32], AlazardMetivier [2], Ambrose-Masmoudi [4], Cordoba et al. [13], Lannes [20], and Alazard et al. [1]. Our main results regarding local exis”