Integrablity and Thermodynamic Bethe Ansatz in Generalised Quantum Hydrodynamics

I briefly review the topic of Generalised Hydrodynamics in the framework of Non Equilibrium Steady States (NESS) and how it is strongly connected to Integrability. As a result, the profiles of the steady currents of energy between two reservoirs at different temperatures can be expressed in terms of a Thermodynamic Bethe Ansatz (TBA) approach known as NESS-TBA. Various issues of this approach are presented.