Let F be a singular Riemannian foliation on a compact Riemannian manifold M. By successive blow-ups along the strata of F we construct a regular Riemannian foliation (F) over cap on a compact Riemannian manifold (M) over ...

We show that any semi-algebraic sweeping process admits piecewise absolutely continuous solutions (trajectories), and any such bounded trajectory must have finite length. Analogous results hold more generally for ...

The application of a desingularized variational numerical method to the vertical hydrodynamic impact problem of axisymmetric bodies is addressed here within the so-called Generalized von Kármán Model (GvKM). A weak formulation ...

The question of finding solutions to a given implicit differential equation (IDE) is an important one, in part because it appears very naturally in several problems in physics, engineering and many other fields. In this ...

We say that a germ of vector field X in (...) is tangent to a holomorphic foliation defined by a germ of integrable 1-form (...). In this thesis we aim to study some geometric properties arising from this setting. We first ...