4 papers
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…