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Rigidity for capillary liquid drops of nearly circular section with constant vorticity
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider time-independent solutions with constant vorticity of the free boundary Euler equations for a 3D liquid drop with capillarity. A rigidity result for the solutions of th…
A rigidity result for the 3D capillary liquid drop with constant vorticity
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider the free boundary problem for the Euler equations of fluid dynamics governing the motion of a 3D liquid drop with capillarity and nearly spherical shape, under th…
On the Dirichlet-Neumann operator for nearly spherical domains
Pietro Baldi, Vesa Julin, Domenico Angelo La Manna
We consider the Dirichlet-Neumann operator for a nearly spherical domain in R^n, and prove sharp analytic and tame estimates in Sobolev class. The novelty of this paper concerns te…