Vesicles are closed bilayers of tensioactive molecules, filled with liquid, inside another liquid. Their size can be between 10 and 100 microns : in this case, they are called giant vesicles. We study the dynamic of two of these objects in a simple shear flow, which is the one of a liquid sheared between two walls translating with respect to each other at a constant speed and distance. We begin by an asymptotic study, for quasispherical vesicles in the far field interacting regime. We then use a numerical code based on the boundary element method to study the case of less spherical and closer vesicles, and compare our results with experiments. We finish by presenting how this study can be used to predict some diffusing properties of a sheared suspension of vesicles, in the semidilute regime, where only the details of two body interactions are considered.
