In this chapter we present stabilized reduced basis (RB) models for convection-dominated problems. We start by defining a stabilized RB model for the advection-diffusion equation. In this problem, the instabilities appear when the Péclet number is higher than one. Different stabilization procedures are well known for the finite element (FE) problem [477], and we extend it for the RB framework, following the work performed by Pacciarini and Rozza in [433].
