104 citations · 147 across the 9 of their papers we have counts for
11 papers
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…
On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three
Marco Bravin, Šárka Nečasová
In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in particular we show that a small particle is not accelerated by the fluid in the lim…
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
Marco Bravin
In this paper we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluid in domains with tiny holes. This set of functions allows to impr…
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 existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points
Marco Bravin
Well-posedness for the two dimensional Euler system with given initial vorticity is known since the works of Judovič. In this paper we show existence of solutions in the case where…
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…