6 papers · 1 filter
On the trajectory of a light small rigid body in an incompressible viscous fluid
Marco Bravin, Šárka Nečasová
In this paper we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid bo…
Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect
Marco Bravin, Francesco Fanelli
In this paper, we perform the fast rotation limit of the density-dependent incompressible Navier-Stokes-Coriolis system in a thin strip $Ω_\varepsilon\,…
On the one dimensional cubic NLS in a critical space
Marco Bravin, Luis Vega
In this note we study the initial value problem in a critical space for the one dimensional Schrödinger equation with a cubic non-linearity and under some smallness conditions. In…
On the vanishing rigid body problem in a viscous compressible fluid
Marco Bravin, Šárka Nečasová
In this paper we study the interaction of a small rigid body in a viscous compressible fluid. The system occupies a bounded three dimensional domain. The object it allowed to freel…
On the 2D `viscous incompressible fluid + rigid body' system with Navier conditions and unbounded energy
Marco Bravin
In this paper we consider the motion of a rigid body in a viscous incompressible fluid when some Navier slip conditions are prescribed on the body's boundary. The whole `viscous in…
On the weak uniqueness of "viscous incompressible fluid + rigid body" system with Navier slip-with-friction conditions in a 2D bounded domain
Marco Bravin
The existence of weak solutions to the "viscous incompressible fluid + rigid body" system with Navier slip-with-friction conditions in a 3D bounded domain has been recently proved…