Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulations
This paper demonstrates that the one-dimensional Kuramoto-Sivashinsky equation exhibits an intermediate scaling regime with dynamical exponent , belonging to the inviscid-Burgers universality class, which arises from the vanishing of effective viscosity between the large-scale KPZ and small-scale non-universal behaviors, as evidenced by both functional renormalization group analysis and direct numerical simulations.