ABSTRACT
As a first reading, it is kindly advised for someone new to this field, to be focused on Section 4 and 5. The Sections 2 and 3 furnish the necessary mathematical framework that justify the different calculus tools described later on. These tools are usually built when the dynamic of the domains are smooth enough, which means that the velocity field is Lipschitz. However in most cases such as the tube deformations or other intrinsic objects, this regularity is not necessary. This is why we will concentrate on the weak evolution of sets.
