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

Tina Mai

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arXiv · 2410.05113

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

Tina Mai

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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.

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Tina Mai. 2024-10-07. Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects. https://arxiv.org/abs/2410.05113

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