We assume that Ω (for t ∈ [0, T ]) is a time varying domain inR, which is the exterior of several compact bodies moving in a container and striking at time instants t ∈ T , whereT c is a finite… (More)

We study the Oseen problem with rotational e ect in the whole threedimensional space. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev… (More)

We assume that Bt is a closed ball inR+ := {(x1,x2,x3) ∈ R3; x3 > 0}, striking the wall (= thex1,x2–plane) at timetc ∈ (0,T). The speed of the ball at the instant of the collision need not be zero.… (More)

We study the Oseen problem with rotational e ect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev… (More)

We study the Oseen problem with rotational effect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev… (More)

We establish the existence and uniqueness of weak solution of the three-dimensional nonhomogeneous stationary Oseen flow around a rotating body in an exterior domain. This article is extension of the… (More)

The lecture is motivated by the regularity criteria, showing that some particular quantities (one or two components of velocity, two components of vorticity, some chosen components of the gradient of… (More)

A certain weighted variant of the embedding inequalities Une variante avec poids des inégalités d'injection ABSTRACT In this Note, for vector functions defined on unbounded domains of R 3 , we… (More)