|| In this talk we will state a generalization of the Weinstein conjecture in the case of contact structures that admit codimension 1 singularities called b-contact forms. We will prove a weak version of this conjecture for ’generic’ contact forms: more precisely, we show that its associated Reeb vector fields admit escape orbits. This is done by connecting the dynamics of those vector fields to Beltrami vector fields (coming from hydrodynamics) and making use of genericity results for eigenfunctions of the Laplacian ? la Uhlenbeck. This is joint work with Eva Miranda and Daniel Peralta?Salas.