4 papers · 1 filter
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…
2D capillary liquid drops with constant vorticity: rotating waves existence and a conditional energetic stability result for rotating circles
Giuseppe La Scala
We consider a two-dimensional, pure capillary drop of nearly-circular shape, having constant vorticity. We write the Craig-Sulem equations on the unit circle, then on the flat toru…
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…