Nonlinear Partial Differential Equations

Date: April 8, 2025

Time: 3:00PM - 4:00PM

Location: BLOCKER 302

Speaker: Tina Mai, Duy Tan University and Texas A&M University

Title: Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects

Abstract: We consider the Kuramoto-Sakaguchi-Fokker-Planck equation (namely, parabolic Kuramoto-Sakaguchi, or Kuramoto-Sakaguchi equation, which is a nonlinear parabolic integro-differential equation) with inertia and white noise effects. We study the hydrodynamic limit of this Kuramoto-Sakaguchi equation. During showing this main result, as a support, we also prove a Hardy-type inequality over the whole real line.