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19982009
most citedUnique solvability of the free-boundary Navier-Stokes equations with surface tension

26 citations · 46 across the 5 of their papers we have counts for

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Showing 2005 · math.APShow all

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math.AP2005

Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Daniel Coutand, Steve Shkoller

We provide a new method for treating free boundary problems in perfect fluids, and prove local-in-time well-posedness in Sobolev spaces for the free-surface incompressible 3D Euler…