“…From a PDE control theoretical viewpoint, we encounter with two types of liquid systems of equations: (i) the full form of NSEs, which are parabolic-type PDEs (see Jokar et al, 2023, 2022) and (ii) the Saint-Venant equations (SVEs) which are hyperbolic type PDEs (see e.g., Diagne et al, 2017b; Karafyllis et al, 2023, 2022). Due to the different types of these two systems of equations, dealing with them creates different challenges in the PDE-control context.…”