On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation

DOI10.1016/j.jde.2016.10.004zbMath1394.35534OpenAlexW2538307230MaRDI QIDQ340351

Debora Amadori, Seung-Yeal Ha, Jinyeong Park

Publication date: 14 November 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.004

zbMATH Keywords

synchronizationcontinuous dependenceKuramoto modelBV weak solutionKuramoto-Sakaguchi equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09)

Related Items (13)

A Nonlocal Version of Wavefront Tracking Motivated by Kuramoto-Sakaguchi Equation ⋮ On the one-dimensional continuity equation with a nearly incompressible vector field ⋮ Configurational stability for the Kuramoto–Sakaguchi model ⋮ The initial-boundary value problem for general non-local scalar conservation laws in one space dimension ⋮ On traffic flow with nonlocal flux: a relaxation representation ⋮ Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws ⋮ Robustness in the instability of the incoherent state for the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration ⋮ Emergence of phase concentration for the Kuramoto-Sakaguchi equation ⋮ Stability estimates for non-local scalar conservation laws ⋮ Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads ⋮ Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration

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