16 papers
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…
On the approximation of finite perimeter sets
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2
We prove that if is a set with finite perimeter with , then any set of finite perimeter $E\subseteq\m…
A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto
In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We sh…
Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider the free boundary problem for a liquid drop of nearly spherical shape with capillarity, and we study the existence of nontrivial (i.e., non spherical) rotating travelin…