3 papers
math.AP2024
Existence of ground states for free energies on the hyperbolic space
José A. Carrillo, Razvan C. Fetecau, Hansol Park
We investigate a free energy functional that arises in aggregation-diffusion phenomena modelled by nonlocal interactions and local repulsion on the hyperbolic space $\bbh^\dm$. The…
math.DS2022
Optimal consensus control models on the sphere
Hui Huang, Hansol Park
In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the…
math.DS2021
An algebraic approach for the weak coupling of multiple Lohe tensor models
Seung-Yeal Ha, Dohyun Kim, Hansol Park
We present a systematic algebraic approach for the weak coupling of Cauchy problems to multiple Lohe tensor models. For this, we identify an admissible Cauchy problem to the Lohe t…