We solve the wave-resistance problem for a “slender” cylinder semisubmerged in a heavy fluid and moving at uniform, supercritical speed in the direction orthogonal to its generators. We prove that… (More)

We discuss existence and regularity of the solutions of the wave-resistance problem for a thin semisubmerged body moving at uniform subcritical velocity in a heavy fluid (e.g., water) of constant… (More)

We study elliptic problems at critical growth under Steklov boundary conditions in bounded domains. For a second order problem we prove existence of nontrivial nodal solutions. These are obtained by… (More)

A spherical shell model for turbulence, obtained by coupling N replicas of the Gledzer, Okhitani and Yamada shell model, is considered. Conservation of energy and of an helicity-like invariant is… (More)