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math.AP2022★ 1 cited
Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature
Razvan C. Fetecau, Hansol Park
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature. The equation models s…
math.AP2021
Emergent behaviors of the kinetic Lohe Hermitian sphere model
Junhyeok Byeon, Seung-Yeal Ha, Gyuyoung Hwang +1
We study a global well-posedness of measure-valued solutions to the kinetic Lohe Hermitian sphere(LHS) model derived from the Lohe tensor(LT) model on the set of rank-1 complex ten…
math.AP2021
The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models
Hansol Park
We present a kinetic version of the Watanabe-Strogatz(WS) transform for vector models in this paper. From the generalized WS-transform, we obtain the cross-ratio type constant of m…