We consider a single disk moving under the influence of a two dimensional viscous fluid and
we study the asymptotic as the size of the solid tends to zero. If the density of the solid is …

We consider the evolution of a small rigid body in an incompressible viscous fluid filling the
whole space R 3. The motion of the fluid is modeled by the Navier–Stokes equations …

We consider the flow of a viscous, incompressible, Newtonian fluid in a perforated domain in
the plane. The domain is the exterior of a regular lattice of rigid particles. We study the …

We treat three problems on a two-dimensional “punctured periodic domain”: we take Ω r=(−
L, L) 2\r K, where r> 0 and K is the closure of an open connected set that is star-shaped with …

We consider the evolution of a small rigid body in an incompressible viscous fluid filling the
whole space\({{\mathbb {R}}}^ 3\). When the small rigid body shrinks to a “massless” point in …

We study the asymptotic behavior of solutions of the two dimensional incompressible Euler
equations in the exterior of a curve when the curve shrinks to a point. This work links the two …

In this paper we treat three problems on a two-dimensionalpunctured periodic domain': we
take $\Omega_r=(-L, L)^ 2\setminus D_r $, where $ D_r= B (0, r) $ is the disc of radius $ r …

We show that the eigenvalues of the Stokes operator in a domain with a small hole converge
to the eigenvalues of the Stokes operator in the whole domain, when the diameter of the …

Cette thèse est consacrée à trois différentes équations d'évolution non-linéaires dans le
cadre de mécanique des fluides: le système fluide-solide, le système de Boussinesq et un …

Nous rassemblons dans ce mémoire les résultats obtenus par l'auteur et ses collaborateurs,
puis nous donnerons les idées principales de l'analyse mise en place pour leurs …