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Global-in-time solution and stability of Kuramoto-Sakaguchi equation under non-local Coupling

We thank the anonymous referees for valuable comments to improve the quality of this paper.
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  • In this paper, we focus on the global-in-time solvability of the Kuramoto-Sakaguchi equation under non-local coupling. We further study the nonlinear stability of the trivial stationary solution in the presence of sufficiently large diffusivity, and the existence of the solution under vanishing diffusion.

    Mathematics Subject Classification: Primary: 35B10, 35B41; Secondary: 35Q70.

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