Hydrodynamic limit for an infinite spin systems on \(\mathbb{Z}\) (Q1365398)

This paper studies the hydrodynamic limits for a new interacting particle system with spin space \([0, \infty)\). The process is irreversible. As usual, the macroscopic equation is nonlinear. Of course, one can imagine there is some difficulty in the study since the state space is non-compact. The reviewer especially supports this because of the personal experience. The author first studies the hydrodynamic limit for finite systems and then goes to the infinite-dimensional situation. This is somehow different to the existing literature but not so unusual for the non-equilibrium systems.