Besides all the geometric, accuracy and efficiency benefits of Isogeometric analysis, NURBS-based discretizations also over the possibility for divergence-conforming spaces [1]. In the setting of an incompressible fluid, this allows formulations to generate equations that satisfy the continuity equation point-wise. Besides the nicety of having a discretization that closely – or precisely in this case – mimics physics, exact satisfaction of the continuity equations can have profound impact on the stability and conservation properties of a formulation [2]. Key to achieve this property is the precise sculpting of the velocity and pressure space. As PSPG like stabilization terms are not allows the famous inf-sup condition needs to be satisfied, this means the velocity space should not be too small. Additionally, the divergence of any allowed velocity field should be a member of pressure space is necessary to prove velocity fields are solenoidal. Or alternatively the velocity space should not be too large. Both requirements on the velocity and pressure spaces are so strict that the feasibility space is very small. Standard imposition of boundary conditions is there for not always allowed. In this talk we investigate the whether weak enforcement of boundary conditions [3], can alleviate the problem.