Myeongju Kang

Trend to Equilibrium and Diffusion Limit for the Inertial Kuramoto–Sakaguchi Equation

Abstract. In this paper, we study the inertial Kuramoto–Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phase-homogeneous stationary states in weighted Lebesgue norm sense when the coupling strength is small e...