4 papers
Foliations by constant spacetime mean curvature surfaces for asymptotically hyperboloidal initial data sets
Jacopo Tenan
We construct an exhaustive family of constant spacetime mean curvature (STCMC) surfaces for initial data sets close to the anti-de Sitter-Schwarzschild hyperboloid. In particular,…
Volume preserving mean curvature flow of round surfaces in asymptotically flat spaces
Carlo Sinestrari, Jacopo Tenan
We study the volume preserving mean curvature flow of a surface immersed in an asymptotically flat -manifold modeling an isolated gravitating system in General Relativity. We sh…
Volume preserving spacetime mean curvature flow and foliations of initial data sets
Jacopo Tenan
We consider a volume preserving curvature evolution of surfaces in an asymptotically Euclidean initial data set with positive ADM-energy. The speed is given by a nonlinear function…
Weak transport equation on a bounded domain: stability theory aprés DiPerna-Lions
Jacopo Tenan
The article studies the transport equation that governes the motion of a fluid in a bounded domain, under the hypothesis of zero velocity at the boundary and supposing the incompre…